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Simplifying -9(v + -5) = 9v + -9 Reorder the terms: -9(-5 + v) = 9v + -9 (-5 * -9 + v * -9) = 9v + -9 (45 + -9v) = 9v + -9 Reorder the terms: 45 + -9v = -9 + 9v Solving 45 + -9v = -9 + 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 + -9v + -9v = -9 + 9v + -9v Combine like terms: -9v + -9v = -18v 45 + -18v = -9 + 9v + -9v Combine like terms: 9v + -9v = 0 45 + -18v = -9 + 0 45 + -18v = -9 Add '-45' to each side of the equation. 45 + -45 + -18v = -9 + -45 Combine like terms: 45 + -45 = 0 0 + -18v = -9 + -45 -18v = -9 + -45 Combine like terms: -9 + -45 = -54 -18v = -54 Divide each side by '-18'. v = 3 Simplifying v = 3
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