-7(v-6)-2v=3(-10-5v)

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Solution for -7(v-6)-2v=3(-10-5v) equation:


Simplifying
-7(v + -6) + -2v = 3(-10 + -5v)

Reorder the terms:
-7(-6 + v) + -2v = 3(-10 + -5v)
(-6 * -7 + v * -7) + -2v = 3(-10 + -5v)
(42 + -7v) + -2v = 3(-10 + -5v)

Combine like terms: -7v + -2v = -9v
42 + -9v = 3(-10 + -5v)
42 + -9v = (-10 * 3 + -5v * 3)
42 + -9v = (-30 + -15v)

Solving
42 + -9v = -30 + -15v

Solving for variable 'v'.

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

Add '15v' to each side of the equation.
42 + -9v + 15v = -30 + -15v + 15v

Combine like terms: -9v + 15v = 6v
42 + 6v = -30 + -15v + 15v

Combine like terms: -15v + 15v = 0
42 + 6v = -30 + 0
42 + 6v = -30

Add '-42' to each side of the equation.
42 + -42 + 6v = -30 + -42

Combine like terms: 42 + -42 = 0
0 + 6v = -30 + -42
6v = -30 + -42

Combine like terms: -30 + -42 = -72
6v = -72

Divide each side by '6'.
v = -12

Simplifying
v = -12

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