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Simplifying -13u + 15u + 7 = 8u + 43 Reorder the terms: 7 + -13u + 15u = 8u + 43 Combine like terms: -13u + 15u = 2u 7 + 2u = 8u + 43 Reorder the terms: 7 + 2u = 43 + 8u Solving 7 + 2u = 43 + 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. 7 + 2u + -8u = 43 + 8u + -8u Combine like terms: 2u + -8u = -6u 7 + -6u = 43 + 8u + -8u Combine like terms: 8u + -8u = 0 7 + -6u = 43 + 0 7 + -6u = 43 Add '-7' to each side of the equation. 7 + -7 + -6u = 43 + -7 Combine like terms: 7 + -7 = 0 0 + -6u = 43 + -7 -6u = 43 + -7 Combine like terms: 43 + -7 = 36 -6u = 36 Divide each side by '-6'. u = -6 Simplifying u = -6
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