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Simplifying -8u + 43 = 9(u + 1) Reorder the terms: 43 + -8u = 9(u + 1) Reorder the terms: 43 + -8u = 9(1 + u) 43 + -8u = (1 * 9 + u * 9) 43 + -8u = (9 + 9u) Solving 43 + -8u = 9 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 43 + -8u + -9u = 9 + 9u + -9u Combine like terms: -8u + -9u = -17u 43 + -17u = 9 + 9u + -9u Combine like terms: 9u + -9u = 0 43 + -17u = 9 + 0 43 + -17u = 9 Add '-43' to each side of the equation. 43 + -43 + -17u = 9 + -43 Combine like terms: 43 + -43 = 0 0 + -17u = 9 + -43 -17u = 9 + -43 Combine like terms: 9 + -43 = -34 -17u = -34 Divide each side by '-17'. u = 2 Simplifying u = 2
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