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Simplifying 8u + -43 + 34 = 6u + 17 Reorder the terms: -43 + 34 + 8u = 6u + 17 Combine like terms: -43 + 34 = -9 -9 + 8u = 6u + 17 Reorder the terms: -9 + 8u = 17 + 6u Solving -9 + 8u = 17 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -9 + 8u + -6u = 17 + 6u + -6u Combine like terms: 8u + -6u = 2u -9 + 2u = 17 + 6u + -6u Combine like terms: 6u + -6u = 0 -9 + 2u = 17 + 0 -9 + 2u = 17 Add '9' to each side of the equation. -9 + 9 + 2u = 17 + 9 Combine like terms: -9 + 9 = 0 0 + 2u = 17 + 9 2u = 17 + 9 Combine like terms: 17 + 9 = 26 2u = 26 Divide each side by '2'. u = 13 Simplifying u = 13
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