7(3+2v)+2(-8v-8)=1-8v+8v-8

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Solution for 7(3+2v)+2(-8v-8)=1-8v+8v-8 equation: 


Simplifying
7(3 + 2v) + 2(-8v + -8) = 1 + -8v + 8v + -8
(3 * 7 + 2v * 7) + 2(-8v + -8) = 1 + -8v + 8v + -8
(21 + 14v) + 2(-8v + -8) = 1 + -8v + 8v + -8

Reorder the terms:
21 + 14v + 2(-8 + -8v) = 1 + -8v + 8v + -8
21 + 14v + (-8 * 2 + -8v * 2) = 1 + -8v + 8v + -8
21 + 14v + (-16 + -16v) = 1 + -8v + 8v + -8

Reorder the terms:
21 + -16 + 14v + -16v = 1 + -8v + 8v + -8

Combine like terms: 21 + -16 = 5
5 + 14v + -16v = 1 + -8v + 8v + -8

Combine like terms: 14v + -16v = -2v
5 + -2v = 1 + -8v + 8v + -8

Reorder the terms:
5 + -2v = 1 + -8 + -8v + 8v

Combine like terms: 1 + -8 = -7
5 + -2v = -7 + -8v + 8v

Combine like terms: -8v + 8v = 0
5 + -2v = -7 + 0
5 + -2v = -7

Solving
5 + -2v = -7

Solving for variable 'v'.

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

Add '-5' to each side of the equation.
5 + -5 + -2v = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -2v = -7 + -5
-2v = -7 + -5

Combine like terms: -7 + -5 = -12
-2v = -12

Divide each side by '-2'.
v = 6

Simplifying
v = 6

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