2(v-4)-7v=32

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Solution for 2(v-4)-7v=32 equation: 


Simplifying
2(v + -4) + -7v = 32

Reorder the terms:
2(-4 + v) + -7v = 32
(-4 * 2 + v * 2) + -7v = 32
(-8 + 2v) + -7v = 32

Combine like terms: 2v + -7v = -5v
-8 + -5v = 32

Solving
-8 + -5v = 32

Solving for variable 'v'.

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

Add '8' to each side of the equation.
-8 + 8 + -5v = 32 + 8

Combine like terms: -8 + 8 = 0
0 + -5v = 32 + 8
-5v = 32 + 8

Combine like terms: 32 + 8 = 40
-5v = 40

Divide each side by '-5'.
v = -8

Simplifying
v = -8

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