-7v+32=-3(4v+8)-2v

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Solution for -7v+32=-3(4v+8)-2v equation: 


Simplifying
-7v + 32 = -3(4v + 8) + -2v

Reorder the terms:
32 + -7v = -3(4v + 8) + -2v

Reorder the terms:
32 + -7v = -3(8 + 4v) + -2v
32 + -7v = (8 * -3 + 4v * -3) + -2v
32 + -7v = (-24 + -12v) + -2v

Combine like terms: -12v + -2v = -14v
32 + -7v = -24 + -14v

Solving
32 + -7v = -24 + -14v

Solving for variable 'v'.

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

Add '14v' to each side of the equation.
32 + -7v + 14v = -24 + -14v + 14v

Combine like terms: -7v + 14v = 7v
32 + 7v = -24 + -14v + 14v

Combine like terms: -14v + 14v = 0
32 + 7v = -24 + 0
32 + 7v = -24

Add '-32' to each side of the equation.
32 + -32 + 7v = -24 + -32

Combine like terms: 32 + -32 = 0
0 + 7v = -24 + -32
7v = -24 + -32

Combine like terms: -24 + -32 = -56
7v = -56

Divide each side by '7'.
v = -8

Simplifying
v = -8

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