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Simplifying 5(v + -9) = -9v + -31 Reorder the terms: 5(-9 + v) = -9v + -31 (-9 * 5 + v * 5) = -9v + -31 (-45 + 5v) = -9v + -31 Reorder the terms: -45 + 5v = -31 + -9v Solving -45 + 5v = -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. -45 + 5v + 9v = -31 + -9v + 9v Combine like terms: 5v + 9v = 14v -45 + 14v = -31 + -9v + 9v Combine like terms: -9v + 9v = 0 -45 + 14v = -31 + 0 -45 + 14v = -31 Add '45' to each side of the equation. -45 + 45 + 14v = -31 + 45 Combine like terms: -45 + 45 = 0 0 + 14v = -31 + 45 14v = -31 + 45 Combine like terms: -31 + 45 = 14 14v = 14 Divide each side by '14'. v = 1 Simplifying v = 1
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