-2(-7v+4)-2v=2(v-3)-7

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


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

Reorder the terms:
-2(4 + -7v) + -2v = 2(v + -3) + -7
(4 * -2 + -7v * -2) + -2v = 2(v + -3) + -7
(-8 + 14v) + -2v = 2(v + -3) + -7

Combine like terms: 14v + -2v = 12v
-8 + 12v = 2(v + -3) + -7

Reorder the terms:
-8 + 12v = 2(-3 + v) + -7
-8 + 12v = (-3 * 2 + v * 2) + -7
-8 + 12v = (-6 + 2v) + -7

Reorder the terms:
-8 + 12v = -6 + -7 + 2v

Combine like terms: -6 + -7 = -13
-8 + 12v = -13 + 2v

Solving
-8 + 12v = -13 + 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.
-8 + 12v + -2v = -13 + 2v + -2v

Combine like terms: 12v + -2v = 10v
-8 + 10v = -13 + 2v + -2v

Combine like terms: 2v + -2v = 0
-8 + 10v = -13 + 0
-8 + 10v = -13

Add '8' to each side of the equation.
-8 + 8 + 10v = -13 + 8

Combine like terms: -8 + 8 = 0
0 + 10v = -13 + 8
10v = -13 + 8

Combine like terms: -13 + 8 = -5
10v = -5

Divide each side by '10'.
v = -0.5

Simplifying
v = -0.5

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