4(v+2)=2v-6

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


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

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

Reorder the terms:
8 + 4v = -6 + 2v

Solving
8 + 4v = -6 + 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 + 4v + -2v = -6 + 2v + -2v

Combine like terms: 4v + -2v = 2v
8 + 2v = -6 + 2v + -2v

Combine like terms: 2v + -2v = 0
8 + 2v = -6 + 0
8 + 2v = -6

Add '-8' to each side of the equation.
8 + -8 + 2v = -6 + -8

Combine like terms: 8 + -8 = 0
0 + 2v = -6 + -8
2v = -6 + -8

Combine like terms: -6 + -8 = -14
2v = -14

Divide each side by '2'.
v = -7

Simplifying
v = -7

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