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Simplifying 3(v + -5) + -1 = -5(-4v + 4) + -9v Reorder the terms: 3(-5 + v) + -1 = -5(-4v + 4) + -9v (-5 * 3 + v * 3) + -1 = -5(-4v + 4) + -9v (-15 + 3v) + -1 = -5(-4v + 4) + -9v Reorder the terms: -15 + -1 + 3v = -5(-4v + 4) + -9v Combine like terms: -15 + -1 = -16 -16 + 3v = -5(-4v + 4) + -9v Reorder the terms: -16 + 3v = -5(4 + -4v) + -9v -16 + 3v = (4 * -5 + -4v * -5) + -9v -16 + 3v = (-20 + 20v) + -9v Combine like terms: 20v + -9v = 11v -16 + 3v = -20 + 11v Solving -16 + 3v = -20 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -16 + 3v + -11v = -20 + 11v + -11v Combine like terms: 3v + -11v = -8v -16 + -8v = -20 + 11v + -11v Combine like terms: 11v + -11v = 0 -16 + -8v = -20 + 0 -16 + -8v = -20 Add '16' to each side of the equation. -16 + 16 + -8v = -20 + 16 Combine like terms: -16 + 16 = 0 0 + -8v = -20 + 16 -8v = -20 + 16 Combine like terms: -20 + 16 = -4 -8v = -4 Divide each side by '-8'. v = 0.5 Simplifying v = 0.5
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