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Simplifying 3(8v + 5) + -4 = -39 + -1v Reorder the terms: 3(5 + 8v) + -4 = -39 + -1v (5 * 3 + 8v * 3) + -4 = -39 + -1v (15 + 24v) + -4 = -39 + -1v Reorder the terms: 15 + -4 + 24v = -39 + -1v Combine like terms: 15 + -4 = 11 11 + 24v = -39 + -1v Solving 11 + 24v = -39 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 11 + 24v + v = -39 + -1v + v Combine like terms: 24v + v = 25v 11 + 25v = -39 + -1v + v Combine like terms: -1v + v = 0 11 + 25v = -39 + 0 11 + 25v = -39 Add '-11' to each side of the equation. 11 + -11 + 25v = -39 + -11 Combine like terms: 11 + -11 = 0 0 + 25v = -39 + -11 25v = -39 + -11 Combine like terms: -39 + -11 = -50 25v = -50 Divide each side by '25'. v = -2 Simplifying v = -2
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