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Simplifying 8(u + 6) = 5u + 45 Reorder the terms: 8(6 + u) = 5u + 45 (6 * 8 + u * 8) = 5u + 45 (48 + 8u) = 5u + 45 Reorder the terms: 48 + 8u = 45 + 5u Solving 48 + 8u = 45 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. 48 + 8u + -5u = 45 + 5u + -5u Combine like terms: 8u + -5u = 3u 48 + 3u = 45 + 5u + -5u Combine like terms: 5u + -5u = 0 48 + 3u = 45 + 0 48 + 3u = 45 Add '-48' to each side of the equation. 48 + -48 + 3u = 45 + -48 Combine like terms: 48 + -48 = 0 0 + 3u = 45 + -48 3u = 45 + -48 Combine like terms: 45 + -48 = -3 3u = -3 Divide each side by '3'. u = -1 Simplifying u = -1
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