11(v+1)+12=8v+4(2v-8)

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Solution for 11(v+1)+12=8v+4(2v-8) equation: 


Simplifying
11(v + 1) + 12 = 8v + 4(2v + -8)

Reorder the terms:
11(1 + v) + 12 = 8v + 4(2v + -8)
(1 * 11 + v * 11) + 12 = 8v + 4(2v + -8)
(11 + 11v) + 12 = 8v + 4(2v + -8)

Reorder the terms:
11 + 12 + 11v = 8v + 4(2v + -8)

Combine like terms: 11 + 12 = 23
23 + 11v = 8v + 4(2v + -8)

Reorder the terms:
23 + 11v = 8v + 4(-8 + 2v)
23 + 11v = 8v + (-8 * 4 + 2v * 4)
23 + 11v = 8v + (-32 + 8v)

Reorder the terms:
23 + 11v = -32 + 8v + 8v

Combine like terms: 8v + 8v = 16v
23 + 11v = -32 + 16v

Solving
23 + 11v = -32 + 16v

Solving for variable 'v'.

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

Add '-16v' to each side of the equation.
23 + 11v + -16v = -32 + 16v + -16v

Combine like terms: 11v + -16v = -5v
23 + -5v = -32 + 16v + -16v

Combine like terms: 16v + -16v = 0
23 + -5v = -32 + 0
23 + -5v = -32

Add '-23' to each side of the equation.
23 + -23 + -5v = -32 + -23

Combine like terms: 23 + -23 = 0
0 + -5v = -32 + -23
-5v = -32 + -23

Combine like terms: -32 + -23 = -55
-5v = -55

Divide each side by '-5'.
v = 11

Simplifying
v = 11

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