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Simplifying -5(6v + -8) = 31 + 9v Reorder the terms: -5(-8 + 6v) = 31 + 9v (-8 * -5 + 6v * -5) = 31 + 9v (40 + -30v) = 31 + 9v Solving 40 + -30v = 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. 40 + -30v + -9v = 31 + 9v + -9v Combine like terms: -30v + -9v = -39v 40 + -39v = 31 + 9v + -9v Combine like terms: 9v + -9v = 0 40 + -39v = 31 + 0 40 + -39v = 31 Add '-40' to each side of the equation. 40 + -40 + -39v = 31 + -40 Combine like terms: 40 + -40 = 0 0 + -39v = 31 + -40 -39v = 31 + -40 Combine like terms: 31 + -40 = -9 -39v = -9 Divide each side by '-39'. v = 0.2307692308 Simplifying v = 0.2307692308
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