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Simplifying 29 = 3u + 8(u + -6) Reorder the terms: 29 = 3u + 8(-6 + u) 29 = 3u + (-6 * 8 + u * 8) 29 = 3u + (-48 + 8u) Reorder the terms: 29 = -48 + 3u + 8u Combine like terms: 3u + 8u = 11u 29 = -48 + 11u Solving 29 = -48 + 11u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-11u' to each side of the equation. 29 + -11u = -48 + 11u + -11u Combine like terms: 11u + -11u = 0 29 + -11u = -48 + 0 29 + -11u = -48 Add '-29' to each side of the equation. 29 + -29 + -11u = -48 + -29 Combine like terms: 29 + -29 = 0 0 + -11u = -48 + -29 -11u = -48 + -29 Combine like terms: -48 + -29 = -77 -11u = -77 Divide each side by '-11'. u = 7 Simplifying u = 7
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