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Simplifying -9(v + -9) = -3v + 33 Reorder the terms: -9(-9 + v) = -3v + 33 (-9 * -9 + v * -9) = -3v + 33 (81 + -9v) = -3v + 33 Reorder the terms: 81 + -9v = 33 + -3v Solving 81 + -9v = 33 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 81 + -9v + 3v = 33 + -3v + 3v Combine like terms: -9v + 3v = -6v 81 + -6v = 33 + -3v + 3v Combine like terms: -3v + 3v = 0 81 + -6v = 33 + 0 81 + -6v = 33 Add '-81' to each side of the equation. 81 + -81 + -6v = 33 + -81 Combine like terms: 81 + -81 = 0 0 + -6v = 33 + -81 -6v = 33 + -81 Combine like terms: 33 + -81 = -48 -6v = -48 Divide each side by '-6'. v = 8 Simplifying v = 8
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