2(3v-1)+7v+6=5(v+3)-3v

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Solution for 2(3v-1)+7v+6=5(v+3)-3v equation:


Simplifying
2(3v + -1) + 7v + 6 = 5(v + 3) + -3v

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

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

Combine like terms: -2 + 6 = 4
4 + 6v + 7v = 5(v + 3) + -3v

Combine like terms: 6v + 7v = 13v
4 + 13v = 5(v + 3) + -3v

Reorder the terms:
4 + 13v = 5(3 + v) + -3v
4 + 13v = (3 * 5 + v * 5) + -3v
4 + 13v = (15 + 5v) + -3v

Combine like terms: 5v + -3v = 2v
4 + 13v = 15 + 2v

Solving
4 + 13v = 15 + 2v

Solving for variable 'v'.

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

Add '-2v' to each side of the equation.
4 + 13v + -2v = 15 + 2v + -2v

Combine like terms: 13v + -2v = 11v
4 + 11v = 15 + 2v + -2v

Combine like terms: 2v + -2v = 0
4 + 11v = 15 + 0
4 + 11v = 15

Add '-4' to each side of the equation.
4 + -4 + 11v = 15 + -4

Combine like terms: 4 + -4 = 0
0 + 11v = 15 + -4
11v = 15 + -4

Combine like terms: 15 + -4 = 11
11v = 11

Divide each side by '11'.
v = 1

Simplifying
v = 1

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