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Simplifying -5(4v + -9) + 11 = -4(1 + 2v) Reorder the terms: -5(-9 + 4v) + 11 = -4(1 + 2v) (-9 * -5 + 4v * -5) + 11 = -4(1 + 2v) (45 + -20v) + 11 = -4(1 + 2v) Reorder the terms: 45 + 11 + -20v = -4(1 + 2v) Combine like terms: 45 + 11 = 56 56 + -20v = -4(1 + 2v) 56 + -20v = (1 * -4 + 2v * -4) 56 + -20v = (-4 + -8v) Solving 56 + -20v = -4 + -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. 56 + -20v + 8v = -4 + -8v + 8v Combine like terms: -20v + 8v = -12v 56 + -12v = -4 + -8v + 8v Combine like terms: -8v + 8v = 0 56 + -12v = -4 + 0 56 + -12v = -4 Add '-56' to each side of the equation. 56 + -56 + -12v = -4 + -56 Combine like terms: 56 + -56 = 0 0 + -12v = -4 + -56 -12v = -4 + -56 Combine like terms: -4 + -56 = -60 -12v = -60 Divide each side by '-12'. v = 5 Simplifying v = 5
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