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Simplifying 32 = 5(3u + -4) + -5u + -3u Reorder the terms: 32 = 5(-4 + 3u) + -5u + -3u 32 = (-4 * 5 + 3u * 5) + -5u + -3u 32 = (-20 + 15u) + -5u + -3u Combine like terms: 15u + -5u = 10u 32 = -20 + 10u + -3u Combine like terms: 10u + -3u = 7u 32 = -20 + 7u Solving 32 = -20 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 32 + -7u = -20 + 7u + -7u Combine like terms: 7u + -7u = 0 32 + -7u = -20 + 0 32 + -7u = -20 Add '-32' to each side of the equation. 32 + -32 + -7u = -20 + -32 Combine like terms: 32 + -32 = 0 0 + -7u = -20 + -32 -7u = -20 + -32 Combine like terms: -20 + -32 = -52 -7u = -52 Divide each side by '-7'. u = 7.428571429 Simplifying u = 7.428571429
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