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

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


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

Reorder the terms:
12(11 + -2v) + 12 = -8(v + 4)
(11 * 12 + -2v * 12) + 12 = -8(v + 4)
(132 + -24v) + 12 = -8(v + 4)

Reorder the terms:
132 + 12 + -24v = -8(v + 4)

Combine like terms: 132 + 12 = 144
144 + -24v = -8(v + 4)

Reorder the terms:
144 + -24v = -8(4 + v)
144 + -24v = (4 * -8 + v * -8)
144 + -24v = (-32 + -8v)

Solving
144 + -24v = -32 + -8v

Solving for variable 'v'.

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

Add '8v' to each side of the equation.
144 + -24v + 8v = -32 + -8v + 8v

Combine like terms: -24v + 8v = -16v
144 + -16v = -32 + -8v + 8v

Combine like terms: -8v + 8v = 0
144 + -16v = -32 + 0
144 + -16v = -32

Add '-144' to each side of the equation.
144 + -144 + -16v = -32 + -144

Combine like terms: 144 + -144 = 0
0 + -16v = -32 + -144
-16v = -32 + -144

Combine like terms: -32 + -144 = -176
-16v = -176

Divide each side by '-16'.
v = 11

Simplifying
v = 11

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