2(v-6)-6=-7(-4v+2)-8v

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Solution for 2(v-6)-6=-7(-4v+2)-8v equation:


Simplifying
2(v + -6) + -6 = -7(-4v + 2) + -8v

Reorder the terms:
2(-6 + v) + -6 = -7(-4v + 2) + -8v
(-6 * 2 + v * 2) + -6 = -7(-4v + 2) + -8v
(-12 + 2v) + -6 = -7(-4v + 2) + -8v

Reorder the terms:
-12 + -6 + 2v = -7(-4v + 2) + -8v

Combine like terms: -12 + -6 = -18
-18 + 2v = -7(-4v + 2) + -8v

Reorder the terms:
-18 + 2v = -7(2 + -4v) + -8v
-18 + 2v = (2 * -7 + -4v * -7) + -8v
-18 + 2v = (-14 + 28v) + -8v

Combine like terms: 28v + -8v = 20v
-18 + 2v = -14 + 20v

Solving
-18 + 2v = -14 + 20v

Solving for variable 'v'.

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

Add '-20v' to each side of the equation.
-18 + 2v + -20v = -14 + 20v + -20v

Combine like terms: 2v + -20v = -18v
-18 + -18v = -14 + 20v + -20v

Combine like terms: 20v + -20v = 0
-18 + -18v = -14 + 0
-18 + -18v = -14

Add '18' to each side of the equation.
-18 + 18 + -18v = -14 + 18

Combine like terms: -18 + 18 = 0
0 + -18v = -14 + 18
-18v = -14 + 18

Combine like terms: -14 + 18 = 4
-18v = 4

Divide each side by '-18'.
v = -0.2222222222

Simplifying
v = -0.2222222222

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