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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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