V+8(v+3)=8(2v-4)

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Solution for V+8(v+3)=8(2v-4) equation:


Simplifying
V + 8(v + 3) = 8(2v + -4)

Reorder the terms:
V + 8(3 + v) = 8(2v + -4)
V + (3 * 8 + v * 8) = 8(2v + -4)
V + (24 + 8v) = 8(2v + -4)

Reorder the terms:
24 + V + 8v = 8(2v + -4)

Reorder the terms:
24 + V + 8v = 8(-4 + 2v)
24 + V + 8v = (-4 * 8 + 2v * 8)
24 + V + 8v = (-32 + 16v)

Solving
24 + V + 8v = -32 + 16v

Solving for variable 'V'.

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

Add '-24' to each side of the equation.
24 + V + -24 + 8v = -32 + -24 + 16v

Reorder the terms:
24 + -24 + V + 8v = -32 + -24 + 16v

Combine like terms: 24 + -24 = 0
0 + V + 8v = -32 + -24 + 16v
V + 8v = -32 + -24 + 16v

Combine like terms: -32 + -24 = -56
V + 8v = -56 + 16v

Add '-8v' to each side of the equation.
V + 8v + -8v = -56 + 16v + -8v

Combine like terms: 8v + -8v = 0
V + 0 = -56 + 16v + -8v
V = -56 + 16v + -8v

Combine like terms: 16v + -8v = 8v
V = -56 + 8v

Simplifying
V = -56 + 8v

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