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

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


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

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

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

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

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

Solving
-4 + 4v = 14 + 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 + 4v + -2v = 14 + 2v + -2v

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

Combine like terms: 2v + -2v = 0
-4 + 2v = 14 + 0
-4 + 2v = 14

Add '4' to each side of the equation.
-4 + 4 + 2v = 14 + 4

Combine like terms: -4 + 4 = 0
0 + 2v = 14 + 4
2v = 14 + 4

Combine like terms: 14 + 4 = 18
2v = 18

Divide each side by '2'.
v = 9

Simplifying
v = 9

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