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Simplifying 5u + 37 = 8(u + 8) Reorder the terms: 37 + 5u = 8(u + 8) Reorder the terms: 37 + 5u = 8(8 + u) 37 + 5u = (8 * 8 + u * 8) 37 + 5u = (64 + 8u) Solving 37 + 5u = 64 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 37 + 5u + -8u = 64 + 8u + -8u Combine like terms: 5u + -8u = -3u 37 + -3u = 64 + 8u + -8u Combine like terms: 8u + -8u = 0 37 + -3u = 64 + 0 37 + -3u = 64 Add '-37' to each side of the equation. 37 + -37 + -3u = 64 + -37 Combine like terms: 37 + -37 = 0 0 + -3u = 64 + -37 -3u = 64 + -37 Combine like terms: 64 + -37 = 27 -3u = 27 Divide each side by '-3'. u = -9 Simplifying u = -9
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