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Simplifying -8(v + 6) = 9v + -31 Reorder the terms: -8(6 + v) = 9v + -31 (6 * -8 + v * -8) = 9v + -31 (-48 + -8v) = 9v + -31 Reorder the terms: -48 + -8v = -31 + 9v Solving -48 + -8v = -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. -48 + -8v + -9v = -31 + 9v + -9v Combine like terms: -8v + -9v = -17v -48 + -17v = -31 + 9v + -9v Combine like terms: 9v + -9v = 0 -48 + -17v = -31 + 0 -48 + -17v = -31 Add '48' to each side of the equation. -48 + 48 + -17v = -31 + 48 Combine like terms: -48 + 48 = 0 0 + -17v = -31 + 48 -17v = -31 + 48 Combine like terms: -31 + 48 = 17 -17v = 17 Divide each side by '-17'. v = -1 Simplifying v = -1
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