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Simplifying 5(v + 6) = -5(3v + -8) + 4v Reorder the terms: 5(6 + v) = -5(3v + -8) + 4v (6 * 5 + v * 5) = -5(3v + -8) + 4v (30 + 5v) = -5(3v + -8) + 4v Reorder the terms: 30 + 5v = -5(-8 + 3v) + 4v 30 + 5v = (-8 * -5 + 3v * -5) + 4v 30 + 5v = (40 + -15v) + 4v Combine like terms: -15v + 4v = -11v 30 + 5v = 40 + -11v Solving 30 + 5v = 40 + -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. 30 + 5v + 11v = 40 + -11v + 11v Combine like terms: 5v + 11v = 16v 30 + 16v = 40 + -11v + 11v Combine like terms: -11v + 11v = 0 30 + 16v = 40 + 0 30 + 16v = 40 Add '-30' to each side of the equation. 30 + -30 + 16v = 40 + -30 Combine like terms: 30 + -30 = 0 0 + 16v = 40 + -30 16v = 40 + -30 Combine like terms: 40 + -30 = 10 16v = 10 Divide each side by '16'. v = 0.625 Simplifying v = 0.625
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