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Simplifying -2(v + 12) = -9(5 + v) Reorder the terms: -2(12 + v) = -9(5 + v) (12 * -2 + v * -2) = -9(5 + v) (-24 + -2v) = -9(5 + v) -24 + -2v = (5 * -9 + v * -9) -24 + -2v = (-45 + -9v) Solving -24 + -2v = -45 + -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. -24 + -2v + 9v = -45 + -9v + 9v Combine like terms: -2v + 9v = 7v -24 + 7v = -45 + -9v + 9v Combine like terms: -9v + 9v = 0 -24 + 7v = -45 + 0 -24 + 7v = -45 Add '24' to each side of the equation. -24 + 24 + 7v = -45 + 24 Combine like terms: -24 + 24 = 0 0 + 7v = -45 + 24 7v = -45 + 24 Combine like terms: -45 + 24 = -21 7v = -21 Divide each side by '7'. v = -3 Simplifying v = -3
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