V+5(v+1)=4(2v-2)+11v

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Solution for V+5(v+1)=4(2v-2)+11v equation:


Simplifying
V + 5(v + 1) = 4(2v + -2) + 11v

Reorder the terms:
V + 5(1 + v) = 4(2v + -2) + 11v
V + (1 * 5 + v * 5) = 4(2v + -2) + 11v
V + (5 + 5v) = 4(2v + -2) + 11v

Reorder the terms:
5 + V + 5v = 4(2v + -2) + 11v

Reorder the terms:
5 + V + 5v = 4(-2 + 2v) + 11v
5 + V + 5v = (-2 * 4 + 2v * 4) + 11v
5 + V + 5v = (-8 + 8v) + 11v

Combine like terms: 8v + 11v = 19v
5 + V + 5v = -8 + 19v

Solving
5 + V + 5v = -8 + 19v

Solving for variable 'V'.

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

Add '-5' to each side of the equation.
5 + V + -5 + 5v = -8 + -5 + 19v

Reorder the terms:
5 + -5 + V + 5v = -8 + -5 + 19v

Combine like terms: 5 + -5 = 0
0 + V + 5v = -8 + -5 + 19v
V + 5v = -8 + -5 + 19v

Combine like terms: -8 + -5 = -13
V + 5v = -13 + 19v

Add '-5v' to each side of the equation.
V + 5v + -5v = -13 + 19v + -5v

Combine like terms: 5v + -5v = 0
V + 0 = -13 + 19v + -5v
V = -13 + 19v + -5v

Combine like terms: 19v + -5v = 14v
V = -13 + 14v

Simplifying
V = -13 + 14v

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