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Simplifying v + 4 + -1 = -3(5 + -4v) + -5(4v + -2) Reorder the terms: 4 + -1 + v = -3(5 + -4v) + -5(4v + -2) Combine like terms: 4 + -1 = 3 3 + v = -3(5 + -4v) + -5(4v + -2) 3 + v = (5 * -3 + -4v * -3) + -5(4v + -2) 3 + v = (-15 + 12v) + -5(4v + -2) Reorder the terms: 3 + v = -15 + 12v + -5(-2 + 4v) 3 + v = -15 + 12v + (-2 * -5 + 4v * -5) 3 + v = -15 + 12v + (10 + -20v) Reorder the terms: 3 + v = -15 + 10 + 12v + -20v Combine like terms: -15 + 10 = -5 3 + v = -5 + 12v + -20v Combine like terms: 12v + -20v = -8v 3 + v = -5 + -8v Solving 3 + v = -5 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 3 + v + 8v = -5 + -8v + 8v Combine like terms: v + 8v = 9v 3 + 9v = -5 + -8v + 8v Combine like terms: -8v + 8v = 0 3 + 9v = -5 + 0 3 + 9v = -5 Add '-3' to each side of the equation. 3 + -3 + 9v = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 9v = -5 + -3 9v = -5 + -3 Combine like terms: -5 + -3 = -8 9v = -8 Divide each side by '9'. v = -0.8888888889 Simplifying v = -0.8888888889
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