-6(-4v+2)-7v=7(v-1)-9

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Solution for -6(-4v+2)-7v=7(v-1)-9 equation: 


Simplifying
-6(-4v + 2) + -7v = 7(v + -1) + -9

Reorder the terms:
-6(2 + -4v) + -7v = 7(v + -1) + -9
(2 * -6 + -4v * -6) + -7v = 7(v + -1) + -9
(-12 + 24v) + -7v = 7(v + -1) + -9

Combine like terms: 24v + -7v = 17v
-12 + 17v = 7(v + -1) + -9

Reorder the terms:
-12 + 17v = 7(-1 + v) + -9
-12 + 17v = (-1 * 7 + v * 7) + -9
-12 + 17v = (-7 + 7v) + -9

Reorder the terms:
-12 + 17v = -7 + -9 + 7v

Combine like terms: -7 + -9 = -16
-12 + 17v = -16 + 7v

Solving
-12 + 17v = -16 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
-12 + 17v + -7v = -16 + 7v + -7v

Combine like terms: 17v + -7v = 10v
-12 + 10v = -16 + 7v + -7v

Combine like terms: 7v + -7v = 0
-12 + 10v = -16 + 0
-12 + 10v = -16

Add '12' to each side of the equation.
-12 + 12 + 10v = -16 + 12

Combine like terms: -12 + 12 = 0
0 + 10v = -16 + 12
10v = -16 + 12

Combine like terms: -16 + 12 = -4
10v = -4

Divide each side by '10'.
v = -0.4

Simplifying
v = -0.4

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