-2(-6v+7)-3v=5(v-3)-9

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Solution for -2(-6v+7)-3v=5(v-3)-9 equation:


Simplifying
-2(-6v + 7) + -3v = 5(v + -3) + -9

Reorder the terms:
-2(7 + -6v) + -3v = 5(v + -3) + -9
(7 * -2 + -6v * -2) + -3v = 5(v + -3) + -9
(-14 + 12v) + -3v = 5(v + -3) + -9

Combine like terms: 12v + -3v = 9v
-14 + 9v = 5(v + -3) + -9

Reorder the terms:
-14 + 9v = 5(-3 + v) + -9
-14 + 9v = (-3 * 5 + v * 5) + -9
-14 + 9v = (-15 + 5v) + -9

Reorder the terms:
-14 + 9v = -15 + -9 + 5v

Combine like terms: -15 + -9 = -24
-14 + 9v = -24 + 5v

Solving
-14 + 9v = -24 + 5v

Solving for variable 'v'.

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

Add '-5v' to each side of the equation.
-14 + 9v + -5v = -24 + 5v + -5v

Combine like terms: 9v + -5v = 4v
-14 + 4v = -24 + 5v + -5v

Combine like terms: 5v + -5v = 0
-14 + 4v = -24 + 0
-14 + 4v = -24

Add '14' to each side of the equation.
-14 + 14 + 4v = -24 + 14

Combine like terms: -14 + 14 = 0
0 + 4v = -24 + 14
4v = -24 + 14

Combine like terms: -24 + 14 = -10
4v = -10

Divide each side by '4'.
v = -2.5

Simplifying
v = -2.5

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