7v+1-2(-5v-7)=3(v-1)

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Solution for 7v+1-2(-5v-7)=3(v-1) equation:


Simplifying
7v + 1 + -2(-5v + -7) = 3(v + -1)

Reorder the terms:
7v + 1 + -2(-7 + -5v) = 3(v + -1)
7v + 1 + (-7 * -2 + -5v * -2) = 3(v + -1)
7v + 1 + (14 + 10v) = 3(v + -1)

Reorder the terms:
1 + 14 + 7v + 10v = 3(v + -1)

Combine like terms: 1 + 14 = 15
15 + 7v + 10v = 3(v + -1)

Combine like terms: 7v + 10v = 17v
15 + 17v = 3(v + -1)

Reorder the terms:
15 + 17v = 3(-1 + v)
15 + 17v = (-1 * 3 + v * 3)
15 + 17v = (-3 + 3v)

Solving
15 + 17v = -3 + 3v

Solving for variable 'v'.

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

Add '-3v' to each side of the equation.
15 + 17v + -3v = -3 + 3v + -3v

Combine like terms: 17v + -3v = 14v
15 + 14v = -3 + 3v + -3v

Combine like terms: 3v + -3v = 0
15 + 14v = -3 + 0
15 + 14v = -3

Add '-15' to each side of the equation.
15 + -15 + 14v = -3 + -15

Combine like terms: 15 + -15 = 0
0 + 14v = -3 + -15
14v = -3 + -15

Combine like terms: -3 + -15 = -18
14v = -18

Divide each side by '14'.
v = -1.285714286

Simplifying
v = -1.285714286

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