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Simplifying 2v + -39 = 9(v + -2) Reorder the terms: -39 + 2v = 9(v + -2) Reorder the terms: -39 + 2v = 9(-2 + v) -39 + 2v = (-2 * 9 + v * 9) -39 + 2v = (-18 + 9v) Solving -39 + 2v = -18 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -39 + 2v + -9v = -18 + 9v + -9v Combine like terms: 2v + -9v = -7v -39 + -7v = -18 + 9v + -9v Combine like terms: 9v + -9v = 0 -39 + -7v = -18 + 0 -39 + -7v = -18 Add '39' to each side of the equation. -39 + 39 + -7v = -18 + 39 Combine like terms: -39 + 39 = 0 0 + -7v = -18 + 39 -7v = -18 + 39 Combine like terms: -18 + 39 = 21 -7v = 21 Divide each side by '-7'. v = -3 Simplifying v = -3
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