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

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


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

Reorder the terms:
1 + 7v = 8 + -3(2v + -2)

Reorder the terms:
1 + 7v = 8 + -3(-2 + 2v)
1 + 7v = 8 + (-2 * -3 + 2v * -3)
1 + 7v = 8 + (6 + -6v)

Combine like terms: 8 + 6 = 14
1 + 7v = 14 + -6v

Solving
1 + 7v = 14 + -6v

Solving for variable 'v'.

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

Add '6v' to each side of the equation.
1 + 7v + 6v = 14 + -6v + 6v

Combine like terms: 7v + 6v = 13v
1 + 13v = 14 + -6v + 6v

Combine like terms: -6v + 6v = 0
1 + 13v = 14 + 0
1 + 13v = 14

Add '-1' to each side of the equation.
1 + -1 + 13v = 14 + -1

Combine like terms: 1 + -1 = 0
0 + 13v = 14 + -1
13v = 14 + -1

Combine like terms: 14 + -1 = 13
13v = 13

Divide each side by '13'.
v = 1

Simplifying
v = 1

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