v+3+v+2=3(5v-1)-2(v-4)

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Solution for v+3+v+2=3(5v-1)-2(v-4) equation:


Simplifying
v + 3 + v + 2 = 3(5v + -1) + -2(v + -4)

Reorder the terms:
3 + 2 + v + v = 3(5v + -1) + -2(v + -4)

Combine like terms: 3 + 2 = 5
5 + v + v = 3(5v + -1) + -2(v + -4)

Combine like terms: v + v = 2v
5 + 2v = 3(5v + -1) + -2(v + -4)

Reorder the terms:
5 + 2v = 3(-1 + 5v) + -2(v + -4)
5 + 2v = (-1 * 3 + 5v * 3) + -2(v + -4)
5 + 2v = (-3 + 15v) + -2(v + -4)

Reorder the terms:
5 + 2v = -3 + 15v + -2(-4 + v)
5 + 2v = -3 + 15v + (-4 * -2 + v * -2)
5 + 2v = -3 + 15v + (8 + -2v)

Reorder the terms:
5 + 2v = -3 + 8 + 15v + -2v

Combine like terms: -3 + 8 = 5
5 + 2v = 5 + 15v + -2v

Combine like terms: 15v + -2v = 13v
5 + 2v = 5 + 13v

Add '-5' to each side of the equation.
5 + -5 + 2v = 5 + -5 + 13v

Combine like terms: 5 + -5 = 0
0 + 2v = 5 + -5 + 13v
2v = 5 + -5 + 13v

Combine like terms: 5 + -5 = 0
2v = 0 + 13v
2v = 13v

Solving
2v = 13v

Solving for variable 'v'.

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

Add '-13v' to each side of the equation.
2v + -13v = 13v + -13v

Combine like terms: 2v + -13v = -11v
-11v = 13v + -13v

Combine like terms: 13v + -13v = 0
-11v = 0

Divide each side by '-11'.
v = 0

Simplifying
v = 0

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