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Simplifying 5(v + -9) = 9v + -25 Reorder the terms: 5(-9 + v) = 9v + -25 (-9 * 5 + v * 5) = 9v + -25 (-45 + 5v) = 9v + -25 Reorder the terms: -45 + 5v = -25 + 9v Solving -45 + 5v = -25 + 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 = -25 + 9v + -9v Combine like terms: 5v + -9v = -4v -45 + -4v = -25 + 9v + -9v Combine like terms: 9v + -9v = 0 -45 + -4v = -25 + 0 -45 + -4v = -25 Add '45' to each side of the equation. -45 + 45 + -4v = -25 + 45 Combine like terms: -45 + 45 = 0 0 + -4v = -25 + 45 -4v = -25 + 45 Combine like terms: -25 + 45 = 20 -4v = 20 Divide each side by '-4'. v = -5 Simplifying v = -5
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