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Simplifying -69 = -1(-4v + 5) + 4(2v + 2) Reorder the terms: -69 = -1(5 + -4v) + 4(2v + 2) -69 = (5 * -1 + -4v * -1) + 4(2v + 2) -69 = (-5 + 4v) + 4(2v + 2) Reorder the terms: -69 = -5 + 4v + 4(2 + 2v) -69 = -5 + 4v + (2 * 4 + 2v * 4) -69 = -5 + 4v + (8 + 8v) Reorder the terms: -69 = -5 + 8 + 4v + 8v Combine like terms: -5 + 8 = 3 -69 = 3 + 4v + 8v Combine like terms: 4v + 8v = 12v -69 = 3 + 12v Solving -69 = 3 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -69 + -12v = 3 + 12v + -12v Combine like terms: 12v + -12v = 0 -69 + -12v = 3 + 0 -69 + -12v = 3 Add '69' to each side of the equation. -69 + 69 + -12v = 3 + 69 Combine like terms: -69 + 69 = 0 0 + -12v = 3 + 69 -12v = 3 + 69 Combine like terms: 3 + 69 = 72 -12v = 72 Divide each side by '-12'. v = -6 Simplifying v = -6
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