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Simplifying -5(-4v + 4) + -1v = 7(v + -1) + -3 Reorder the terms: -5(4 + -4v) + -1v = 7(v + -1) + -3 (4 * -5 + -4v * -5) + -1v = 7(v + -1) + -3 (-20 + 20v) + -1v = 7(v + -1) + -3 Combine like terms: 20v + -1v = 19v -20 + 19v = 7(v + -1) + -3 Reorder the terms: -20 + 19v = 7(-1 + v) + -3 -20 + 19v = (-1 * 7 + v * 7) + -3 -20 + 19v = (-7 + 7v) + -3 Reorder the terms: -20 + 19v = -7 + -3 + 7v Combine like terms: -7 + -3 = -10 -20 + 19v = -10 + 7v Solving -20 + 19v = -10 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -20 + 19v + -7v = -10 + 7v + -7v Combine like terms: 19v + -7v = 12v -20 + 12v = -10 + 7v + -7v Combine like terms: 7v + -7v = 0 -20 + 12v = -10 + 0 -20 + 12v = -10 Add '20' to each side of the equation. -20 + 20 + 12v = -10 + 20 Combine like terms: -20 + 20 = 0 0 + 12v = -10 + 20 12v = -10 + 20 Combine like terms: -10 + 20 = 10 12v = 10 Divide each side by '12'. v = 0.8333333333 Simplifying v = 0.8333333333
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