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Simplifying -9(v + 8) = 2v + -39 Reorder the terms: -9(8 + v) = 2v + -39 (8 * -9 + v * -9) = 2v + -39 (-72 + -9v) = 2v + -39 Reorder the terms: -72 + -9v = -39 + 2v Solving -72 + -9v = -39 + 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. -72 + -9v + -2v = -39 + 2v + -2v Combine like terms: -9v + -2v = -11v -72 + -11v = -39 + 2v + -2v Combine like terms: 2v + -2v = 0 -72 + -11v = -39 + 0 -72 + -11v = -39 Add '72' to each side of the equation. -72 + 72 + -11v = -39 + 72 Combine like terms: -72 + 72 = 0 0 + -11v = -39 + 72 -11v = -39 + 72 Combine like terms: -39 + 72 = 33 -11v = 33 Divide each side by '-11'. v = -3 Simplifying v = -3
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