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Simplifying -9(v + -3) = 9v + 9 Reorder the terms: -9(-3 + v) = 9v + 9 (-3 * -9 + v * -9) = 9v + 9 (27 + -9v) = 9v + 9 Reorder the terms: 27 + -9v = 9 + 9v Solving 27 + -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. 27 + -9v + -9v = 9 + 9v + -9v Combine like terms: -9v + -9v = -18v 27 + -18v = 9 + 9v + -9v Combine like terms: 9v + -9v = 0 27 + -18v = 9 + 0 27 + -18v = 9 Add '-27' to each side of the equation. 27 + -27 + -18v = 9 + -27 Combine like terms: 27 + -27 = 0 0 + -18v = 9 + -27 -18v = 9 + -27 Combine like terms: 9 + -27 = -18 -18v = -18 Divide each side by '-18'. v = 1 Simplifying v = 1
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