-13(v+-6)=-5v+2(5v+12)

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Solution for -13(v+-6)=-5v+2(5v+12) equation:


Simplifying
-13(v + -6) = -5v + 2(5v + 12)

Reorder the terms:
-13(-6 + v) = -5v + 2(5v + 12)
(-6 * -13 + v * -13) = -5v + 2(5v + 12)
(78 + -13v) = -5v + 2(5v + 12)

Reorder the terms:
78 + -13v = -5v + 2(12 + 5v)
78 + -13v = -5v + (12 * 2 + 5v * 2)
78 + -13v = -5v + (24 + 10v)

Reorder the terms:
78 + -13v = 24 + -5v + 10v

Combine like terms: -5v + 10v = 5v
78 + -13v = 24 + 5v

Solving
78 + -13v = 24 + 5v

Solving for variable 'v'.

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

Add '-5v' to each side of the equation.
78 + -13v + -5v = 24 + 5v + -5v

Combine like terms: -13v + -5v = -18v
78 + -18v = 24 + 5v + -5v

Combine like terms: 5v + -5v = 0
78 + -18v = 24 + 0
78 + -18v = 24

Add '-78' to each side of the equation.
78 + -78 + -18v = 24 + -78

Combine like terms: 78 + -78 = 0
0 + -18v = 24 + -78
-18v = 24 + -78

Combine like terms: 24 + -78 = -54
-18v = -54

Divide each side by '-18'.
v = 3

Simplifying
v = 3

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