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Simplifying 2(v + -5) = 9v + -31 Reorder the terms: 2(-5 + v) = 9v + -31 (-5 * 2 + v * 2) = 9v + -31 (-10 + 2v) = 9v + -31 Reorder the terms: -10 + 2v = -31 + 9v Solving -10 + 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. -10 + 2v + -9v = -31 + 9v + -9v Combine like terms: 2v + -9v = -7v -10 + -7v = -31 + 9v + -9v Combine like terms: 9v + -9v = 0 -10 + -7v = -31 + 0 -10 + -7v = -31 Add '10' to each side of the equation. -10 + 10 + -7v = -31 + 10 Combine like terms: -10 + 10 = 0 0 + -7v = -31 + 10 -7v = -31 + 10 Combine like terms: -31 + 10 = -21 -7v = -21 Divide each side by '-7'. v = 3 Simplifying v = 3
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