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Simplifying 9(v + 3) = 3v + -3 Reorder the terms: 9(3 + v) = 3v + -3 (3 * 9 + v * 9) = 3v + -3 (27 + 9v) = 3v + -3 Reorder the terms: 27 + 9v = -3 + 3v Solving 27 + 9v = -3 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 27 + 9v + -3v = -3 + 3v + -3v Combine like terms: 9v + -3v = 6v 27 + 6v = -3 + 3v + -3v Combine like terms: 3v + -3v = 0 27 + 6v = -3 + 0 27 + 6v = -3 Add '-27' to each side of the equation. 27 + -27 + 6v = -3 + -27 Combine like terms: 27 + -27 = 0 0 + 6v = -3 + -27 6v = -3 + -27 Combine like terms: -3 + -27 = -30 6v = -30 Divide each side by '6'. v = -5 Simplifying v = -5
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