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Simplifying -3(-6 + -8v) = 2(9v + 15) (-6 * -3 + -8v * -3) = 2(9v + 15) (18 + 24v) = 2(9v + 15) Reorder the terms: 18 + 24v = 2(15 + 9v) 18 + 24v = (15 * 2 + 9v * 2) 18 + 24v = (30 + 18v) Solving 18 + 24v = 30 + 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. 18 + 24v + -18v = 30 + 18v + -18v Combine like terms: 24v + -18v = 6v 18 + 6v = 30 + 18v + -18v Combine like terms: 18v + -18v = 0 18 + 6v = 30 + 0 18 + 6v = 30 Add '-18' to each side of the equation. 18 + -18 + 6v = 30 + -18 Combine like terms: 18 + -18 = 0 0 + 6v = 30 + -18 6v = 30 + -18 Combine like terms: 30 + -18 = 12 6v = 12 Divide each side by '6'. v = 2 Simplifying v = 2
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