57=3(v-4)-3(1-2v)

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Solution for 57=3(v-4)-3(1-2v) equation: 


Simplifying
57 = 3(v + -4) + -3(1 + -2v)

Reorder the terms:
57 = 3(-4 + v) + -3(1 + -2v)
57 = (-4 * 3 + v * 3) + -3(1 + -2v)
57 = (-12 + 3v) + -3(1 + -2v)
57 = -12 + 3v + (1 * -3 + -2v * -3)
57 = -12 + 3v + (-3 + 6v)

Reorder the terms:
57 = -12 + -3 + 3v + 6v

Combine like terms: -12 + -3 = -15
57 = -15 + 3v + 6v

Combine like terms: 3v + 6v = 9v
57 = -15 + 9v

Solving
57 = -15 + 9v

Solving for variable 'v'.

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

Add '-9v' to each side of the equation.
57 + -9v = -15 + 9v + -9v

Combine like terms: 9v + -9v = 0
57 + -9v = -15 + 0
57 + -9v = -15

Add '-57' to each side of the equation.
57 + -57 + -9v = -15 + -57

Combine like terms: 57 + -57 = 0
0 + -9v = -15 + -57
-9v = -15 + -57

Combine like terms: -15 + -57 = -72
-9v = -72

Divide each side by '-9'.
v = 8

Simplifying
v = 8

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