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Simplifying 5 + -5(5u + -8) = 5(-6u + -6) Reorder the terms: 5 + -5(-8 + 5u) = 5(-6u + -6) 5 + (-8 * -5 + 5u * -5) = 5(-6u + -6) 5 + (40 + -25u) = 5(-6u + -6) Combine like terms: 5 + 40 = 45 45 + -25u = 5(-6u + -6) Reorder the terms: 45 + -25u = 5(-6 + -6u) 45 + -25u = (-6 * 5 + -6u * 5) 45 + -25u = (-30 + -30u) Solving 45 + -25u = -30 + -30u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '30u' to each side of the equation. 45 + -25u + 30u = -30 + -30u + 30u Combine like terms: -25u + 30u = 5u 45 + 5u = -30 + -30u + 30u Combine like terms: -30u + 30u = 0 45 + 5u = -30 + 0 45 + 5u = -30 Add '-45' to each side of the equation. 45 + -45 + 5u = -30 + -45 Combine like terms: 45 + -45 = 0 0 + 5u = -30 + -45 5u = -30 + -45 Combine like terms: -30 + -45 = -75 5u = -75 Divide each side by '5'. u = -15 Simplifying u = -15
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