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Simplifying 9u + -43 = -8(u + -1) Reorder the terms: -43 + 9u = -8(u + -1) Reorder the terms: -43 + 9u = -8(-1 + u) -43 + 9u = (-1 * -8 + u * -8) -43 + 9u = (8 + -8u) Solving -43 + 9u = 8 + -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. -43 + 9u + 8u = 8 + -8u + 8u Combine like terms: 9u + 8u = 17u -43 + 17u = 8 + -8u + 8u Combine like terms: -8u + 8u = 0 -43 + 17u = 8 + 0 -43 + 17u = 8 Add '43' to each side of the equation. -43 + 43 + 17u = 8 + 43 Combine like terms: -43 + 43 = 0 0 + 17u = 8 + 43 17u = 8 + 43 Combine like terms: 8 + 43 = 51 17u = 51 Divide each side by '17'. u = 3 Simplifying u = 3
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