-2(v-8)-4v=-7(v-1)

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Solution for -2(v-8)-4v=-7(v-1) equation: 


Simplifying
-2(v + -8) + -4v = -7(v + -1)

Reorder the terms:
-2(-8 + v) + -4v = -7(v + -1)
(-8 * -2 + v * -2) + -4v = -7(v + -1)
(16 + -2v) + -4v = -7(v + -1)

Combine like terms: -2v + -4v = -6v
16 + -6v = -7(v + -1)

Reorder the terms:
16 + -6v = -7(-1 + v)
16 + -6v = (-1 * -7 + v * -7)
16 + -6v = (7 + -7v)

Solving
16 + -6v = 7 + -7v

Solving for variable 'v'.

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

Add '7v' to each side of the equation.
16 + -6v + 7v = 7 + -7v + 7v

Combine like terms: -6v + 7v = 1v
16 + 1v = 7 + -7v + 7v

Combine like terms: -7v + 7v = 0
16 + 1v = 7 + 0
16 + 1v = 7

Add '-16' to each side of the equation.
16 + -16 + 1v = 7 + -16

Combine like terms: 16 + -16 = 0
0 + 1v = 7 + -16
1v = 7 + -16

Combine like terms: 7 + -16 = -9
1v = -9

Divide each side by '1'.
v = -9

Simplifying
v = -9

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