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Simplifying 3(v + -5) + -3 = -5(-4v + 6) + -9v Reorder the terms: 3(-5 + v) + -3 = -5(-4v + 6) + -9v (-5 * 3 + v * 3) + -3 = -5(-4v + 6) + -9v (-15 + 3v) + -3 = -5(-4v + 6) + -9v Reorder the terms: -15 + -3 + 3v = -5(-4v + 6) + -9v Combine like terms: -15 + -3 = -18 -18 + 3v = -5(-4v + 6) + -9v Reorder the terms: -18 + 3v = -5(6 + -4v) + -9v -18 + 3v = (6 * -5 + -4v * -5) + -9v -18 + 3v = (-30 + 20v) + -9v Combine like terms: 20v + -9v = 11v -18 + 3v = -30 + 11v Solving -18 + 3v = -30 + 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. -18 + 3v + -11v = -30 + 11v + -11v Combine like terms: 3v + -11v = -8v -18 + -8v = -30 + 11v + -11v Combine like terms: 11v + -11v = 0 -18 + -8v = -30 + 0 -18 + -8v = -30 Add '18' to each side of the equation. -18 + 18 + -8v = -30 + 18 Combine like terms: -18 + 18 = 0 0 + -8v = -30 + 18 -8v = -30 + 18 Combine like terms: -30 + 18 = -12 -8v = -12 Divide each side by '-8'. v = 1.5 Simplifying v = 1.5
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