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Simplifying -9(v + -9) = -12(v + -4) Reorder the terms: -9(-9 + v) = -12(v + -4) (-9 * -9 + v * -9) = -12(v + -4) (81 + -9v) = -12(v + -4) Reorder the terms: 81 + -9v = -12(-4 + v) 81 + -9v = (-4 * -12 + v * -12) 81 + -9v = (48 + -12v) Solving 81 + -9v = 48 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 81 + -9v + 12v = 48 + -12v + 12v Combine like terms: -9v + 12v = 3v 81 + 3v = 48 + -12v + 12v Combine like terms: -12v + 12v = 0 81 + 3v = 48 + 0 81 + 3v = 48 Add '-81' to each side of the equation. 81 + -81 + 3v = 48 + -81 Combine like terms: 81 + -81 = 0 0 + 3v = 48 + -81 3v = 48 + -81 Combine like terms: 48 + -81 = -33 3v = -33 Divide each side by '3'. v = -11 Simplifying v = -11
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