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Simplifying -4(v + -9) = -2v + 32 Reorder the terms: -4(-9 + v) = -2v + 32 (-9 * -4 + v * -4) = -2v + 32 (36 + -4v) = -2v + 32 Reorder the terms: 36 + -4v = 32 + -2v Solving 36 + -4v = 32 + -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. 36 + -4v + 2v = 32 + -2v + 2v Combine like terms: -4v + 2v = -2v 36 + -2v = 32 + -2v + 2v Combine like terms: -2v + 2v = 0 36 + -2v = 32 + 0 36 + -2v = 32 Add '-36' to each side of the equation. 36 + -36 + -2v = 32 + -36 Combine like terms: 36 + -36 = 0 0 + -2v = 32 + -36 -2v = 32 + -36 Combine like terms: 32 + -36 = -4 -2v = -4 Divide each side by '-2'. v = 2 Simplifying v = 2
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