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Simplifying 4(3u + -2) + 5(4u + 3) = 71 Reorder the terms: 4(-2 + 3u) + 5(4u + 3) = 71 (-2 * 4 + 3u * 4) + 5(4u + 3) = 71 (-8 + 12u) + 5(4u + 3) = 71 Reorder the terms: -8 + 12u + 5(3 + 4u) = 71 -8 + 12u + (3 * 5 + 4u * 5) = 71 -8 + 12u + (15 + 20u) = 71 Reorder the terms: -8 + 15 + 12u + 20u = 71 Combine like terms: -8 + 15 = 7 7 + 12u + 20u = 71 Combine like terms: 12u + 20u = 32u 7 + 32u = 71 Solving 7 + 32u = 71 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 + 32u = 71 + -7 Combine like terms: 7 + -7 = 0 0 + 32u = 71 + -7 32u = 71 + -7 Combine like terms: 71 + -7 = 64 32u = 64 Divide each side by '32'. u = 2 Simplifying u = 2
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