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Simplifying -6 + 3(5 + 8v) = -5v + -20 -6 + (5 * 3 + 8v * 3) = -5v + -20 -6 + (15 + 24v) = -5v + -20 Combine like terms: -6 + 15 = 9 9 + 24v = -5v + -20 Reorder the terms: 9 + 24v = -20 + -5v Solving 9 + 24v = -20 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 9 + 24v + 5v = -20 + -5v + 5v Combine like terms: 24v + 5v = 29v 9 + 29v = -20 + -5v + 5v Combine like terms: -5v + 5v = 0 9 + 29v = -20 + 0 9 + 29v = -20 Add '-9' to each side of the equation. 9 + -9 + 29v = -20 + -9 Combine like terms: 9 + -9 = 0 0 + 29v = -20 + -9 29v = -20 + -9 Combine like terms: -20 + -9 = -29 29v = -29 Divide each side by '29'. v = -1 Simplifying v = -1
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