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Simplifying -3(-6v + 3) + -1v = 5(v + -4) + -5 Reorder the terms: -3(3 + -6v) + -1v = 5(v + -4) + -5 (3 * -3 + -6v * -3) + -1v = 5(v + -4) + -5 (-9 + 18v) + -1v = 5(v + -4) + -5 Combine like terms: 18v + -1v = 17v -9 + 17v = 5(v + -4) + -5 Reorder the terms: -9 + 17v = 5(-4 + v) + -5 -9 + 17v = (-4 * 5 + v * 5) + -5 -9 + 17v = (-20 + 5v) + -5 Reorder the terms: -9 + 17v = -20 + -5 + 5v Combine like terms: -20 + -5 = -25 -9 + 17v = -25 + 5v Solving -9 + 17v = -25 + 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. -9 + 17v + -5v = -25 + 5v + -5v Combine like terms: 17v + -5v = 12v -9 + 12v = -25 + 5v + -5v Combine like terms: 5v + -5v = 0 -9 + 12v = -25 + 0 -9 + 12v = -25 Add '9' to each side of the equation. -9 + 9 + 12v = -25 + 9 Combine like terms: -9 + 9 = 0 0 + 12v = -25 + 9 12v = -25 + 9 Combine like terms: -25 + 9 = -16 12v = -16 Divide each side by '12'. v = -1.333333333 Simplifying v = -1.333333333
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