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Simplifying -3(-4v + 5) + -1v = 3(v + -8) + -3 Reorder the terms: -3(5 + -4v) + -1v = 3(v + -8) + -3 (5 * -3 + -4v * -3) + -1v = 3(v + -8) + -3 (-15 + 12v) + -1v = 3(v + -8) + -3 Combine like terms: 12v + -1v = 11v -15 + 11v = 3(v + -8) + -3 Reorder the terms: -15 + 11v = 3(-8 + v) + -3 -15 + 11v = (-8 * 3 + v * 3) + -3 -15 + 11v = (-24 + 3v) + -3 Reorder the terms: -15 + 11v = -24 + -3 + 3v Combine like terms: -24 + -3 = -27 -15 + 11v = -27 + 3v Solving -15 + 11v = -27 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -15 + 11v + -3v = -27 + 3v + -3v Combine like terms: 11v + -3v = 8v -15 + 8v = -27 + 3v + -3v Combine like terms: 3v + -3v = 0 -15 + 8v = -27 + 0 -15 + 8v = -27 Add '15' to each side of the equation. -15 + 15 + 8v = -27 + 15 Combine like terms: -15 + 15 = 0 0 + 8v = -27 + 15 8v = -27 + 15 Combine like terms: -27 + 15 = -12 8v = -12 Divide each side by '8'. v = -1.5 Simplifying v = -1.5
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