help me please answer these i have no clue 3t+8(2t-6)=2+14t and 2v+18=16-4(v+7)?

Answer 1

3t + 16t - 48 = 2 + 14t (expand)
19t - 48 = 2 + 14t (collect)
5t = 50 (simplify)
t = 10

2v + 18 = 16 - 4v - 28
2v + 18 = -4v - 12
6v = -30
v = -5

Answer 2

1st eqn:
Expand the part 8(2t - 6)
so the eqn becomes:
3t + 16t - 48 = 2 + 14t
19t - 48 = 2 + 14t
19t - 14t = 2 + 48
5t = 50
t = 10

2nd eqn:
expand -4(v + 7)
eqn becomes:
2v + 18 = 16 -4v - 28
2v + 4v = 16 - 28 - 18
6v = -30
v = -5

Answer 3

3t+8(2t-6)=2+14t
first thing to do is get rid of the parentheses, so

3t +(8*2t - 48) =2+14t

3t +16t - 48 = 2 + 14t

any time you have the same variable in different parts of the equation, they can be added and subtracted from each other, so

19t -48 = 2 + 14t

now, get all the variables on one side of the equation.

19t - 48 = 2 +14t
-14t -14t

5t - 48 = 2

then the numbers

5t -48 = 2
+48 +48

5t = 50

then since the t is multiplied by 5, simply divide both sides by 5 to find t.

5t = 50
t = 10

got it?

Answer 4

Simplifying
3t + 8(2t + -6) = 2 + 14t

Reorder the terms:
3t + 8(-6 + 2t) = 2 + 14t
3t + (-6 * 8 + 2t * 8) = 2 + 14t
3t + (-48 + 16t) = 2 + 14t

Reorder the terms:
-48 + 3t + 16t = 2 + 14t

Combine like terms: 3t + 16t = 19t
-48 + 19t = 2 + 14t

Solving
-48 + 19t = 2 + 14t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-14t' to each side of the equation.
-48 + 19t + -14t = 2 + 14t + -14t

Combine like terms: 19t + -14t = 5t
-48 + 5t = 2 + 14t + -14t

Combine like terms: 14t + -14t = 0
-48 + 5t = 2 + 0
-48 + 5t = 2

Add '48' to each side of the equation.
-48 + 48 + 5t = 2 + 48

Combine like terms: -48 + 48 = 0
0 + 5t = 2 + 48
5t = 2 + 48

Combine like terms: 2 + 48 = 50
5t = 50

Divide each side by '5'.
t = 10

Simplifying
t = 10

Simplifying
2v + 18 = 16 + -4(v + 7)

Reorder the terms:
18 + 2v = 16 + -4(v + 7)

Reorder the terms:
18 + 2v = 16 + -4(7 + v)
18 + 2v = 16 + (7 * -4 + v * -4)
18 + 2v = 16 + (-28 + -4v)

Combine like terms: 16 + -28 = -12
18 + 2v = -12 + -4v

Solving
18 + 2v = -12 + -4v

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '4v' to each side of the equation.
18 + 2v + 4v = -12 + -4v + 4v

Combine like terms: 2v + 4v = 6v
18 + 6v = -12 + -4v + 4v

Combine like terms: -4v + 4v = 0
18 + 6v = -12 + 0
18 + 6v = -12

Add '-18' to each side of the equation.
18 + -18 + 6v = -12 + -18

Combine like terms: 18 + -18 = 0
0 + 6v = -12 + -18
6v = -12 + -18

Combine like terms: -12 + -18 = -30
6v = -30

Divide each side by '6'.
v = -5

Simplifying
v = -5

Answer 5

1) 3t + 8(2t-6) = 2 + 14t
3t + 16t - 48 = 2 + 14t
19t - 48 = 2 + 14t
19t - 14t = 2 + 48
5t = 50
t = 10

2) 2v+18=16-4(v+7)
2v + 18 = 16 - 4v - 28
2v + 18 = 4v - 12
2v - 4v = -12 - 18
-2v = -30
v = 15



i hope you get it..i suck at explaining *blush*

Answer 6

For both problems you need to distribute to get rid of the parenthesis. Then add up your like terms on each side of the equal sign. Then start to cancel terms across the equal signs.

Example 1:
3t+8(2t-6)=2+14t Distribute first
3t+16t-48=2+14t Combine like terms
19t-48=2+14t Start to cancel out terms across the equal signs.
Subtract 14t from both sides to get
5t-48=2 Now add 48 to both sides
5t=50 Divide by 5 to isolate t
t=10

Now you should try to do the second one for you to practice on.
Hope this helps. Good Luck.

Answer 7

3t+8(2t-6)=2+14t
19t-48=2+14t
5t=50
t=10

2v+18=16-4(v+7)
2v+18=-4v-12
6v=-30
v=-5
practice these problems

Answer 8

3t+16t-48=2+14t
19t-48=2+14t
19t-14t=48+2
5t=50, t=10

2v+18=16-4v-28
2v+4v=-18+16-28
6v=-30, v=-5

Answer 9

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Answer 10

t=10
v=-1.833