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Simplifying 3(3v + 9) = 2v + 13 Reorder the terms: 3(9 + 3v) = 2v + 13 (9 * 3 + 3v * 3) = 2v + 13 (27 + 9v) = 2v + 13 Reorder the terms: 27 + 9v = 13 + 2v Solving 27 + 9v = 13 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 27 + 9v + -2v = 13 + 2v + -2v Combine like terms: 9v + -2v = 7v 27 + 7v = 13 + 2v + -2v Combine like terms: 2v + -2v = 0 27 + 7v = 13 + 0 27 + 7v = 13 Add '-27' to each side of the equation. 27 + -27 + 7v = 13 + -27 Combine like terms: 27 + -27 = 0 0 + 7v = 13 + -27 7v = 13 + -27 Combine like terms: 13 + -27 = -14 7v = -14 Divide each side by '7'. v = -2 Simplifying v = -2
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