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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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