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Simplifying -9(v + -4) = -2v + -34 Reorder the terms: -9(-4 + v) = -2v + -34 (-4 * -9 + v * -9) = -2v + -34 (36 + -9v) = -2v + -34 Reorder the terms: 36 + -9v = -34 + -2v Solving 36 + -9v = -34 + -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 + -9v + 2v = -34 + -2v + 2v Combine like terms: -9v + 2v = -7v 36 + -7v = -34 + -2v + 2v Combine like terms: -2v + 2v = 0 36 + -7v = -34 + 0 36 + -7v = -34 Add '-36' to each side of the equation. 36 + -36 + -7v = -34 + -36 Combine like terms: 36 + -36 = 0 0 + -7v = -34 + -36 -7v = -34 + -36 Combine like terms: -34 + -36 = -70 -7v = -70 Divide each side by '-7'. v = 10 Simplifying v = 10
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