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Simplifying 3(v + 6) = -5(2v + -6) + 4v Reorder the terms: 3(6 + v) = -5(2v + -6) + 4v (6 * 3 + v * 3) = -5(2v + -6) + 4v (18 + 3v) = -5(2v + -6) + 4v Reorder the terms: 18 + 3v = -5(-6 + 2v) + 4v 18 + 3v = (-6 * -5 + 2v * -5) + 4v 18 + 3v = (30 + -10v) + 4v Combine like terms: -10v + 4v = -6v 18 + 3v = 30 + -6v Solving 18 + 3v = 30 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 18 + 3v + 6v = 30 + -6v + 6v Combine like terms: 3v + 6v = 9v 18 + 9v = 30 + -6v + 6v Combine like terms: -6v + 6v = 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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