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Simplifying 6u + 7 + -3u = 8 + 5u + -11 Reorder the terms: 7 + 6u + -3u = 8 + 5u + -11 Combine like terms: 6u + -3u = 3u 7 + 3u = 8 + 5u + -11 Reorder the terms: 7 + 3u = 8 + -11 + 5u Combine like terms: 8 + -11 = -3 7 + 3u = -3 + 5u Solving 7 + 3u = -3 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. 7 + 3u + -5u = -3 + 5u + -5u Combine like terms: 3u + -5u = -2u 7 + -2u = -3 + 5u + -5u Combine like terms: 5u + -5u = 0 7 + -2u = -3 + 0 7 + -2u = -3 Add '-7' to each side of the equation. 7 + -7 + -2u = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -2u = -3 + -7 -2u = -3 + -7 Combine like terms: -3 + -7 = -10 -2u = -10 Divide each side by '-2'. u = 5 Simplifying u = 5
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