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Simplifying 2(v + -2) = 9v + 31 Reorder the terms: 2(-2 + v) = 9v + 31 (-2 * 2 + v * 2) = 9v + 31 (-4 + 2v) = 9v + 31 Reorder the terms: -4 + 2v = 31 + 9v Solving -4 + 2v = 31 + 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. -4 + 2v + -9v = 31 + 9v + -9v Combine like terms: 2v + -9v = -7v -4 + -7v = 31 + 9v + -9v Combine like terms: 9v + -9v = 0 -4 + -7v = 31 + 0 -4 + -7v = 31 Add '4' to each side of the equation. -4 + 4 + -7v = 31 + 4 Combine like terms: -4 + 4 = 0 0 + -7v = 31 + 4 -7v = 31 + 4 Combine like terms: 31 + 4 = 35 -7v = 35 Divide each side by '-7'. v = -5 Simplifying v = -5
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