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Simplifying -2(v + 9) = 5v + 31 Reorder the terms: -2(9 + v) = 5v + 31 (9 * -2 + v * -2) = 5v + 31 (-18 + -2v) = 5v + 31 Reorder the terms: -18 + -2v = 31 + 5v Solving -18 + -2v = 31 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -18 + -2v + -5v = 31 + 5v + -5v Combine like terms: -2v + -5v = -7v -18 + -7v = 31 + 5v + -5v Combine like terms: 5v + -5v = 0 -18 + -7v = 31 + 0 -18 + -7v = 31 Add '18' to each side of the equation. -18 + 18 + -7v = 31 + 18 Combine like terms: -18 + 18 = 0 0 + -7v = 31 + 18 -7v = 31 + 18 Combine like terms: 31 + 18 = 49 -7v = 49 Divide each side by '-7'. v = -7 Simplifying v = -7
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