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Simplifying 9v + -39 = 2(v + -2) Reorder the terms: -39 + 9v = 2(v + -2) Reorder the terms: -39 + 9v = 2(-2 + v) -39 + 9v = (-2 * 2 + v * 2) -39 + 9v = (-4 + 2v) Solving -39 + 9v = -4 + 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. -39 + 9v + -2v = -4 + 2v + -2v Combine like terms: 9v + -2v = 7v -39 + 7v = -4 + 2v + -2v Combine like terms: 2v + -2v = 0 -39 + 7v = -4 + 0 -39 + 7v = -4 Add '39' to each side of the equation. -39 + 39 + 7v = -4 + 39 Combine like terms: -39 + 39 = 0 0 + 7v = -4 + 39 7v = -4 + 39 Combine like terms: -4 + 39 = 35 7v = 35 Divide each side by '7'. v = 5 Simplifying v = 5
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