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Simplifying -9u + 49 = 8(u + 4) Reorder the terms: 49 + -9u = 8(u + 4) Reorder the terms: 49 + -9u = 8(4 + u) 49 + -9u = (4 * 8 + u * 8) 49 + -9u = (32 + 8u) Solving 49 + -9u = 32 + 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. 49 + -9u + -8u = 32 + 8u + -8u Combine like terms: -9u + -8u = -17u 49 + -17u = 32 + 8u + -8u Combine like terms: 8u + -8u = 0 49 + -17u = 32 + 0 49 + -17u = 32 Add '-49' to each side of the equation. 49 + -49 + -17u = 32 + -49 Combine like terms: 49 + -49 = 0 0 + -17u = 32 + -49 -17u = 32 + -49 Combine like terms: 32 + -49 = -17 -17u = -17 Divide each side by '-17'. u = 1 Simplifying u = 1
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