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Simplifying 3(2v + -1) = 9(13 + -2v) Reorder the terms: 3(-1 + 2v) = 9(13 + -2v) (-1 * 3 + 2v * 3) = 9(13 + -2v) (-3 + 6v) = 9(13 + -2v) -3 + 6v = (13 * 9 + -2v * 9) -3 + 6v = (117 + -18v) Solving -3 + 6v = 117 + -18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '18v' to each side of the equation. -3 + 6v + 18v = 117 + -18v + 18v Combine like terms: 6v + 18v = 24v -3 + 24v = 117 + -18v + 18v Combine like terms: -18v + 18v = 0 -3 + 24v = 117 + 0 -3 + 24v = 117 Add '3' to each side of the equation. -3 + 3 + 24v = 117 + 3 Combine like terms: -3 + 3 = 0 0 + 24v = 117 + 3 24v = 117 + 3 Combine like terms: 117 + 3 = 120 24v = 120 Divide each side by '24'. v = 5 Simplifying v = 5
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