8(V+4)-2v=2(3v+1)-11

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Solution for 8(V+4)-2v=2(3v+1)-11 equation:


Simplifying
8(V + 4) + -2v = 2(3v + 1) + -11

Reorder the terms:
8(4 + V) + -2v = 2(3v + 1) + -11
(4 * 8 + V * 8) + -2v = 2(3v + 1) + -11
(32 + 8V) + -2v = 2(3v + 1) + -11

Reorder the terms:
32 + 8V + -2v = 2(1 + 3v) + -11
32 + 8V + -2v = (1 * 2 + 3v * 2) + -11
32 + 8V + -2v = (2 + 6v) + -11

Reorder the terms:
32 + 8V + -2v = 2 + -11 + 6v

Combine like terms: 2 + -11 = -9
32 + 8V + -2v = -9 + 6v

Solving
32 + 8V + -2v = -9 + 6v

Solving for variable 'V'.

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

Add '-32' to each side of the equation.
32 + 8V + -32 + -2v = -9 + -32 + 6v

Reorder the terms:
32 + -32 + 8V + -2v = -9 + -32 + 6v

Combine like terms: 32 + -32 = 0
0 + 8V + -2v = -9 + -32 + 6v
8V + -2v = -9 + -32 + 6v

Combine like terms: -9 + -32 = -41
8V + -2v = -41 + 6v

Add '2v' to each side of the equation.
8V + -2v + 2v = -41 + 6v + 2v

Combine like terms: -2v + 2v = 0
8V + 0 = -41 + 6v + 2v
8V = -41 + 6v + 2v

Combine like terms: 6v + 2v = 8v
8V = -41 + 8v

Divide each side by '8'.
V = -5.125 + v

Simplifying
V = -5.125 + v

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