Please show your work and explain your answer.
v – 4(4-v) = -2(2v-1)
2006-12-16 15:43:30 · 8 answers · asked by salarian2001 2 in Science & Mathematics ➔ Mathematics
v-4(4-v)=-2(2v-1)
multiply -4 times 4 and -4 times -v and -2 times 2v and -2 times -1
v-16+4v=-4v+2
5v-16=-4v+2 add 16 to both sides
+16 +16
5v=-4v+18 add 4v to both sides
+4v +4v
9v=18 divide both sides by 9
9v/9=18/9
v=2
Check the answer by replacing v with 2.
2006-12-16 16:01:10 · answer #1 · answered by joatradesaz 2 · 2⤊ 0⤋
v-4(4-v)=-2(2v-1)
v-16+4v=-4v+2 Distribute the parentheses
5v-16=-4v+2 Combine like terms
9v-16=2 move v's to 1 side
9v=18 move integers to opposite side
v=2 divide by 9
2006-12-16 23:58:10 · answer #2 · answered by baller750 2 · 2⤊ 0⤋
v-4(4-v)=-2(2v-1):state the equation
v-16+4v=-4v+2:Simplify the equation
5v-16=-4v+2:Simplify the equation
9v=18:Isolate the variable
v=2:Division property of Equality
2006-12-17 00:02:49 · answer #3 · answered by abcd 2 · 2⤊ 0⤋
Distribute the parenthesis
v - 16 + 4v = -4v + 2
Add the v's on the left side
5v - 16 = -4v + 2
Move the v's to 1 side
9v - 16 = 2
9v = 18
v = 2
2006-12-16 23:57:40 · answer #4 · answered by novadeath69 2 · 2⤊ 0⤋
On the first step, you want to use distributive property:
v-16+4v=-4v+2
Combine like terms:
5v-16=-4v+2
Add 4v on both sides:
9v-16=2
Add 16 on both sides:
9v=18
Divide 9 on both sides:
v=2
Check:
2-4(4-2)=-2((2(2)-1)
2-4(2)=-2(4-1)
2-8=-2(3)
-6=-6
2006-12-17 00:06:57 · answer #5 · answered by Anonymous · 1⤊ 0⤋
v – 4(4-v) = -2(2v-1)
v -16 + 4v = -4v + 2
5v + 4v = 2 + 16
9v = 18
v = 18/9
v = 2
The solution is 2.
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2006-12-17 00:04:25 · answer #6 · answered by aeiou 7 · 2⤊ 0⤋
v – 4(4-v) = -2(2v-1)
v - 16 + 4v = -4v + 2
5v - 16 = -4v + 2
5v + 4v = 2 + 16
9v = 18
v = 18/9
v = 2
2006-12-16 23:50:29 · answer #7 · answered by Akilesh - Internet Undertaker 7 · 4⤊ 0⤋
v-16+4v=-4v+2
5v-16=-4v+2
adding4v+16
9v=18
dividing by 9
v=2
2006-12-16 23:58:03 · answer #8 · answered by raj 7 · 2⤊ 0⤋