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

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


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

Reorder the terms:
2v + 5 + -3(-2 + -3v) = 7(v + -1)
2v + 5 + (-2 * -3 + -3v * -3) = 7(v + -1)
2v + 5 + (6 + 9v) = 7(v + -1)

Reorder the terms:
5 + 6 + 2v + 9v = 7(v + -1)

Combine like terms: 5 + 6 = 11
11 + 2v + 9v = 7(v + -1)

Combine like terms: 2v + 9v = 11v
11 + 11v = 7(v + -1)

Reorder the terms:
11 + 11v = 7(-1 + v)
11 + 11v = (-1 * 7 + v * 7)
11 + 11v = (-7 + 7v)

Solving
11 + 11v = -7 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
11 + 11v + -7v = -7 + 7v + -7v

Combine like terms: 11v + -7v = 4v
11 + 4v = -7 + 7v + -7v

Combine like terms: 7v + -7v = 0
11 + 4v = -7 + 0
11 + 4v = -7

Add '-11' to each side of the equation.
11 + -11 + 4v = -7 + -11

Combine like terms: 11 + -11 = 0
0 + 4v = -7 + -11
4v = -7 + -11

Combine like terms: -7 + -11 = -18
4v = -18

Divide each side by '4'.
v = -4.5

Simplifying
v = -4.5

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