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Simplifying -12(2v + -7) = -9(v + -11) Reorder the terms: -12(-7 + 2v) = -9(v + -11) (-7 * -12 + 2v * -12) = -9(v + -11) (84 + -24v) = -9(v + -11) Reorder the terms: 84 + -24v = -9(-11 + v) 84 + -24v = (-11 * -9 + v * -9) 84 + -24v = (99 + -9v) Solving 84 + -24v = 99 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 84 + -24v + 9v = 99 + -9v + 9v Combine like terms: -24v + 9v = -15v 84 + -15v = 99 + -9v + 9v Combine like terms: -9v + 9v = 0 84 + -15v = 99 + 0 84 + -15v = 99 Add '-84' to each side of the equation. 84 + -84 + -15v = 99 + -84 Combine like terms: 84 + -84 = 0 0 + -15v = 99 + -84 -15v = 99 + -84 Combine like terms: 99 + -84 = 15 -15v = 15 Divide each side by '-15'. v = -1 Simplifying v = -1
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