2z - 3 (z - 1)= -(5z +3) + z?

Question

answer and problem work.

Answer 1

2z-3(z-1)= -(5z+3)+z
2z-3z+3=-5z-3+z
2z-3z+5z-z= -3-3
3z= -6
z= -6/3= -2 ans

Answer 2

First you simplify, by distributing what's in the paranthesis:

2z + -3(z) + -3(-1) = -1(5z) + -1(3) = + z I wrote - as -1, because - = -1.
2z + -3z + 3 = -5z + -3 + z
Simplify on each side; see if there are any like terms that you can add or subtract:

(2z + -3z) + 3 = (-5z +z) + -3
-1z + 3 = -4z + -3
Now try to get the z (the variable) alone on one side:
In order to get rid of the 3 on the left, you must add the opposite (-3). Whatever you do to one side, has to be done to the other, so this is what your work would look like:
-1z + 3 + -3 = -4z + -3 + -3
Now Simplify:
-1z = -4z + -6
You still have both z's on opposite sides. It would be easiest next to get the -4z on the left, by adding the opposite, which wold be positive 4z. Remember to do the same on both sides:
-1z + 4z = -4z + 4z + -6.
Simplify:
3z = -6
There is still a 3 attached to the z. 3z is the same as saying 3 x z. To get rid of the 3, you multiply by the opposite, which is the same as dividing it by itself. It's the same with both sides:
3z/3 = -6/3
Simplify for your answer:
z = -2

_____________________
Now check your anwer, by plugging in value of z for all the z's in the problem:

2(-2) + - 3(-2-1)= -(5(-2) + 3) + -2
Distribute:
-4 + 6 +3 = 7 + -2
Simplify, if the values on each side are equal, then your anwer is correct:
5 = 5.

Answer 3

2z - 3 (z - 1)= -(5z + 3) + z
~use distributive property on -3 and -~
2z + -3*z + (-3)*(-1) = -5z - 3 + z
2z + -3z + 3 = -5z - 3 + z
~add or subtract common terms~
-z + 3 = -4z - 3
-z + 3 + 3 = -4z - 3 + 3
-z + 6 = -4z
-z + 6 + z = -4z + z
6 = -3z
6/-3 = -3z/-3
-2 = z
z = -2

Hope that helped you :]

Answer 4

2z-3(z-1)=-(5z+3)+z
2z-3z+3=-5z-3+z
2z-3z+5z-z=-3-3
3z=-6
z=-2

Proof:
[2 x (-2)] - [3 x (-2)] +3 = -[5 x (-2)] -3 -2
-4 +6 +3 = 10 - 5
-4+9 = 10-5
5 = 5

Answer 5

2z - 3z +3 = =5z - 3 + z
-2z=0
therefore z=0

Answer 6

2z - 3z + 3 = - 5z - 3 + z
- z + 3 = - 4z - 3
3z = - 6
z = - 2

Answer 7

2z - 3 (z - 1)= -(5z +3) + z

2z-3z+3=-5z-3+z
-z+3=-4z-3
3z=-6
z=-2

yup

Answer 8

2z - 3z + 3 = -5z - 3 +z
-z + 3 = -4z -3
-z+4z = -3 -3
3z = -6
z = -2

Answer 9

remedy Z on one component of the equation and the values on the different. 5z + 7 = 6 (z-2) - 4(2z -3) Multiply 6 and four by their respective parenthesis, and don't ignore the unfavourable on the 4 is going by additionally: 5z +7 = (6z - 12) + (-8z +12) 5z +7 = 6z - 12 - 8z +12 flow the z to a minimum of one component of the equivalent sign (upload the alternative) 5z - 6z +8z + 7 = -12 +12 Get the 7 on the alternative section 5z - 6z +8z = -12 +12 -7 7z = -7 z = -a million

Answer 10

2z-3z+3=-5z-3+z
-z+3=-4z-3
3z=-6
z=-2