9v-2v=7(v-6)-6(v+11)

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Solution for 9v-2v=7(v-6)-6(v+11) equation:


Simplifying
9v + -2v = 7(v + -6) + -6(v + 11)

Combine like terms: 9v + -2v = 7v
7v = 7(v + -6) + -6(v + 11)

Reorder the terms:
7v = 7(-6 + v) + -6(v + 11)
7v = (-6 * 7 + v * 7) + -6(v + 11)
7v = (-42 + 7v) + -6(v + 11)

Reorder the terms:
7v = -42 + 7v + -6(11 + v)
7v = -42 + 7v + (11 * -6 + v * -6)
7v = -42 + 7v + (-66 + -6v)

Reorder the terms:
7v = -42 + -66 + 7v + -6v

Combine like terms: -42 + -66 = -108
7v = -108 + 7v + -6v

Combine like terms: 7v + -6v = 1v
7v = -108 + 1v

Solving
7v = -108 + 1v

Solving for variable 'v'.

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

Add '-1v' to each side of the equation.
7v + -1v = -108 + 1v + -1v

Combine like terms: 7v + -1v = 6v
6v = -108 + 1v + -1v

Combine like terms: 1v + -1v = 0
6v = -108 + 0
6v = -108

Divide each side by '6'.
v = -18

Simplifying
v = -18

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