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Simplifying 5(u + 6) = -5(3v + -8) + 4v Reorder the terms: 5(6 + u) = -5(3v + -8) + 4v (6 * 5 + u * 5) = -5(3v + -8) + 4v (30 + 5u) = -5(3v + -8) + 4v Reorder the terms: 30 + 5u = -5(-8 + 3v) + 4v 30 + 5u = (-8 * -5 + 3v * -5) + 4v 30 + 5u = (40 + -15v) + 4v Combine like terms: -15v + 4v = -11v 30 + 5u = 40 + -11v Solving 30 + 5u = 40 + -11v Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5u = 40 + -30 + -11v Combine like terms: 30 + -30 = 0 0 + 5u = 40 + -30 + -11v 5u = 40 + -30 + -11v Combine like terms: 40 + -30 = 10 5u = 10 + -11v Divide each side by '5'. u = 2 + -2.2v Simplifying u = 2 + -2.2v
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