3(6v-4)-7v=2v-39

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Solution for 3(6v-4)-7v=2v-39 equation:


Simplifying
3(6v + -4) + -7v = 2v + -39

Reorder the terms:
3(-4 + 6v) + -7v = 2v + -39
(-4 * 3 + 6v * 3) + -7v = 2v + -39
(-12 + 18v) + -7v = 2v + -39

Combine like terms: 18v + -7v = 11v
-12 + 11v = 2v + -39

Reorder the terms:
-12 + 11v = -39 + 2v

Solving
-12 + 11v = -39 + 2v

Solving for variable 'v'.

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

Add '-2v' to each side of the equation.
-12 + 11v + -2v = -39 + 2v + -2v

Combine like terms: 11v + -2v = 9v
-12 + 9v = -39 + 2v + -2v

Combine like terms: 2v + -2v = 0
-12 + 9v = -39 + 0
-12 + 9v = -39

Add '12' to each side of the equation.
-12 + 12 + 9v = -39 + 12

Combine like terms: -12 + 12 = 0
0 + 9v = -39 + 12
9v = -39 + 12

Combine like terms: -39 + 12 = -27
9v = -27

Divide each side by '9'.
v = -3

Simplifying
v = -3

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