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Simplifying 11 + -2u + 34 = 33 + u + -33 Reorder the terms: 11 + 34 + -2u = 33 + u + -33 Combine like terms: 11 + 34 = 45 45 + -2u = 33 + u + -33 Reorder the terms: 45 + -2u = 33 + -33 + u Combine like terms: 33 + -33 = 0 45 + -2u = 0 + u 45 + -2u = u Solving 45 + -2u = u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. 45 + -2u + -1u = u + -1u Combine like terms: -2u + -1u = -3u 45 + -3u = u + -1u Combine like terms: u + -1u = 0 45 + -3u = 0 Add '-45' to each side of the equation. 45 + -45 + -3u = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -3u = 0 + -45 -3u = 0 + -45 Combine like terms: 0 + -45 = -45 -3u = -45 Divide each side by '-3'. u = 15 Simplifying u = 15
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