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

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


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

Reorder the terms:
-4(1 + -4v) + -6v = 2(v + -7) + -2
(1 * -4 + -4v * -4) + -6v = 2(v + -7) + -2
(-4 + 16v) + -6v = 2(v + -7) + -2

Combine like terms: 16v + -6v = 10v
-4 + 10v = 2(v + -7) + -2

Reorder the terms:
-4 + 10v = 2(-7 + v) + -2
-4 + 10v = (-7 * 2 + v * 2) + -2
-4 + 10v = (-14 + 2v) + -2

Reorder the terms:
-4 + 10v = -14 + -2 + 2v

Combine like terms: -14 + -2 = -16
-4 + 10v = -16 + 2v

Solving
-4 + 10v = -16 + 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.
-4 + 10v + -2v = -16 + 2v + -2v

Combine like terms: 10v + -2v = 8v
-4 + 8v = -16 + 2v + -2v

Combine like terms: 2v + -2v = 0
-4 + 8v = -16 + 0
-4 + 8v = -16

Add '4' to each side of the equation.
-4 + 4 + 8v = -16 + 4

Combine like terms: -4 + 4 = 0
0 + 8v = -16 + 4
8v = -16 + 4

Combine like terms: -16 + 4 = -12
8v = -12

Divide each side by '8'.
v = -1.5

Simplifying
v = -1.5

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