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Simplifying -5(-5v + 6) + -2v = 5(v + -1) + -9 Reorder the terms: -5(6 + -5v) + -2v = 5(v + -1) + -9 (6 * -5 + -5v * -5) + -2v = 5(v + -1) + -9 (-30 + 25v) + -2v = 5(v + -1) + -9 Combine like terms: 25v + -2v = 23v -30 + 23v = 5(v + -1) + -9 Reorder the terms: -30 + 23v = 5(-1 + v) + -9 -30 + 23v = (-1 * 5 + v * 5) + -9 -30 + 23v = (-5 + 5v) + -9 Reorder the terms: -30 + 23v = -5 + -9 + 5v Combine like terms: -5 + -9 = -14 -30 + 23v = -14 + 5v Solving -30 + 23v = -14 + 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. -30 + 23v + -5v = -14 + 5v + -5v Combine like terms: 23v + -5v = 18v -30 + 18v = -14 + 5v + -5v Combine like terms: 5v + -5v = 0 -30 + 18v = -14 + 0 -30 + 18v = -14 Add '30' to each side of the equation. -30 + 30 + 18v = -14 + 30 Combine like terms: -30 + 30 = 0 0 + 18v = -14 + 30 18v = -14 + 30 Combine like terms: -14 + 30 = 16 18v = 16 Divide each side by '18'. v = 0.8888888889 Simplifying v = 0.8888888889
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