-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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