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Simplifying 4(5u + 3) + -5(2u + 1) = 78 Reorder the terms: 4(3 + 5u) + -5(2u + 1) = 78 (3 * 4 + 5u * 4) + -5(2u + 1) = 78 (12 + 20u) + -5(2u + 1) = 78 Reorder the terms: 12 + 20u + -5(1 + 2u) = 78 12 + 20u + (1 * -5 + 2u * -5) = 78 12 + 20u + (-5 + -10u) = 78 Reorder the terms: 12 + -5 + 20u + -10u = 78 Combine like terms: 12 + -5 = 7 7 + 20u + -10u = 78 Combine like terms: 20u + -10u = 10u 7 + 10u = 78 Solving 7 + 10u = 78 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 10u = 78 + -7 Combine like terms: 7 + -7 = 0 0 + 10u = 78 + -7 10u = 78 + -7 Combine like terms: 78 + -7 = 71 10u = 71 Divide each side by '10'. u = 7.1 Simplifying u = 7.1
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