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Simplifying 4(u + 5) = 7u + 32 Reorder the terms: 4(5 + u) = 7u + 32 (5 * 4 + u * 4) = 7u + 32 (20 + 4u) = 7u + 32 Reorder the terms: 20 + 4u = 32 + 7u Solving 20 + 4u = 32 + 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. 20 + 4u + -7u = 32 + 7u + -7u Combine like terms: 4u + -7u = -3u 20 + -3u = 32 + 7u + -7u Combine like terms: 7u + -7u = 0 20 + -3u = 32 + 0 20 + -3u = 32 Add '-20' to each side of the equation. 20 + -20 + -3u = 32 + -20 Combine like terms: 20 + -20 = 0 0 + -3u = 32 + -20 -3u = 32 + -20 Combine like terms: 32 + -20 = 12 -3u = 12 Divide each side by '-3'. u = -4 Simplifying u = -4
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