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Simplifying -2(7v + 6) + -2v = 12 + 8v Reorder the terms: -2(6 + 7v) + -2v = 12 + 8v (6 * -2 + 7v * -2) + -2v = 12 + 8v (-12 + -14v) + -2v = 12 + 8v Combine like terms: -14v + -2v = -16v -12 + -16v = 12 + 8v Solving -12 + -16v = 12 + 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. -12 + -16v + -8v = 12 + 8v + -8v Combine like terms: -16v + -8v = -24v -12 + -24v = 12 + 8v + -8v Combine like terms: 8v + -8v = 0 -12 + -24v = 12 + 0 -12 + -24v = 12 Add '12' to each side of the equation. -12 + 12 + -24v = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -24v = 12 + 12 -24v = 12 + 12 Combine like terms: 12 + 12 = 24 -24v = 24 Divide each side by '-24'. v = -1 Simplifying v = -1
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