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Simplifying -9v + -12 = 2(v + 5) Reorder the terms: -12 + -9v = 2(v + 5) Reorder the terms: -12 + -9v = 2(5 + v) -12 + -9v = (5 * 2 + v * 2) -12 + -9v = (10 + 2v) Solving -12 + -9v = 10 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -12 + -9v + -2v = 10 + 2v + -2v Combine like terms: -9v + -2v = -11v -12 + -11v = 10 + 2v + -2v Combine like terms: 2v + -2v = 0 -12 + -11v = 10 + 0 -12 + -11v = 10 Add '12' to each side of the equation. -12 + 12 + -11v = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -11v = 10 + 12 -11v = 10 + 12 Combine like terms: 10 + 12 = 22 -11v = 22 Divide each side by '-11'. v = -2 Simplifying v = -2
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