10(v+3)-2v=2(v+3)-13

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Solution for 10(v+3)-2v=2(v+3)-13 equation: 


Simplifying
10(v + 3) + -2v = 2(v + 3) + -13

Reorder the terms:
10(3 + v) + -2v = 2(v + 3) + -13
(3 * 10 + v * 10) + -2v = 2(v + 3) + -13
(30 + 10v) + -2v = 2(v + 3) + -13

Combine like terms: 10v + -2v = 8v
30 + 8v = 2(v + 3) + -13

Reorder the terms:
30 + 8v = 2(3 + v) + -13
30 + 8v = (3 * 2 + v * 2) + -13
30 + 8v = (6 + 2v) + -13

Reorder the terms:
30 + 8v = 6 + -13 + 2v

Combine like terms: 6 + -13 = -7
30 + 8v = -7 + 2v

Solving
30 + 8v = -7 + 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.
30 + 8v + -2v = -7 + 2v + -2v

Combine like terms: 8v + -2v = 6v
30 + 6v = -7 + 2v + -2v

Combine like terms: 2v + -2v = 0
30 + 6v = -7 + 0
30 + 6v = -7

Add '-30' to each side of the equation.
30 + -30 + 6v = -7 + -30

Combine like terms: 30 + -30 = 0
0 + 6v = -7 + -30
6v = -7 + -30

Combine like terms: -7 + -30 = -37
6v = -37

Divide each side by '6'.
v = -6.166666667

Simplifying
v = -6.166666667

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