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Simplifying -5(-4v + 7) + -1v = 5(v + -4) + -8 Reorder the terms: -5(7 + -4v) + -1v = 5(v + -4) + -8 (7 * -5 + -4v * -5) + -1v = 5(v + -4) + -8 (-35 + 20v) + -1v = 5(v + -4) + -8 Combine like terms: 20v + -1v = 19v -35 + 19v = 5(v + -4) + -8 Reorder the terms: -35 + 19v = 5(-4 + v) + -8 -35 + 19v = (-4 * 5 + v * 5) + -8 -35 + 19v = (-20 + 5v) + -8 Reorder the terms: -35 + 19v = -20 + -8 + 5v Combine like terms: -20 + -8 = -28 -35 + 19v = -28 + 5v Solving -35 + 19v = -28 + 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. -35 + 19v + -5v = -28 + 5v + -5v Combine like terms: 19v + -5v = 14v -35 + 14v = -28 + 5v + -5v Combine like terms: 5v + -5v = 0 -35 + 14v = -28 + 0 -35 + 14v = -28 Add '35' to each side of the equation. -35 + 35 + 14v = -28 + 35 Combine like terms: -35 + 35 = 0 0 + 14v = -28 + 35 14v = -28 + 35 Combine like terms: -28 + 35 = 7 14v = 7 Divide each side by '14'. v = 0.5 Simplifying v = 0.5
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