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Simplifying -2(v + -5) + -1 = -1(v + 5) + -2v Reorder the terms: -2(-5 + v) + -1 = -1(v + 5) + -2v (-5 * -2 + v * -2) + -1 = -1(v + 5) + -2v (10 + -2v) + -1 = -1(v + 5) + -2v Reorder the terms: 10 + -1 + -2v = -1(v + 5) + -2v Combine like terms: 10 + -1 = 9 9 + -2v = -1(v + 5) + -2v Reorder the terms: 9 + -2v = -1(5 + v) + -2v 9 + -2v = (5 * -1 + v * -1) + -2v 9 + -2v = (-5 + -1v) + -2v Combine like terms: -1v + -2v = -3v 9 + -2v = -5 + -3v Solving 9 + -2v = -5 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 9 + -2v + 3v = -5 + -3v + 3v Combine like terms: -2v + 3v = 1v 9 + 1v = -5 + -3v + 3v Combine like terms: -3v + 3v = 0 9 + 1v = -5 + 0 9 + 1v = -5 Add '-9' to each side of the equation. 9 + -9 + 1v = -5 + -9 Combine like terms: 9 + -9 = 0 0 + 1v = -5 + -9 1v = -5 + -9 Combine like terms: -5 + -9 = -14 1v = -14 Divide each side by '1'. v = -14 Simplifying v = -14
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