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Simplifying 2(v + -8) + -2 = -5(-4v + 6) + -9v Reorder the terms: 2(-8 + v) + -2 = -5(-4v + 6) + -9v (-8 * 2 + v * 2) + -2 = -5(-4v + 6) + -9v (-16 + 2v) + -2 = -5(-4v + 6) + -9v Reorder the terms: -16 + -2 + 2v = -5(-4v + 6) + -9v Combine like terms: -16 + -2 = -18 -18 + 2v = -5(-4v + 6) + -9v Reorder the terms: -18 + 2v = -5(6 + -4v) + -9v -18 + 2v = (6 * -5 + -4v * -5) + -9v -18 + 2v = (-30 + 20v) + -9v Combine like terms: 20v + -9v = 11v -18 + 2v = -30 + 11v Solving -18 + 2v = -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 + 2v + -11v = -30 + 11v + -11v Combine like terms: 2v + -11v = -9v -18 + -9v = -30 + 11v + -11v Combine like terms: 11v + -11v = 0 -18 + -9v = -30 + 0 -18 + -9v = -30 Add '18' to each side of the equation. -18 + 18 + -9v = -30 + 18 Combine like terms: -18 + 18 = 0 0 + -9v = -30 + 18 -9v = -30 + 18 Combine like terms: -30 + 18 = -12 -9v = -12 Divide each side by '-9'. v = 1.333333333 Simplifying v = 1.333333333
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