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Simplifying 2u + 13 = 5u + 7 Reorder the terms: 13 + 2u = 5u + 7 Reorder the terms: 13 + 2u = 7 + 5u Solving 13 + 2u = 7 + 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. 13 + 2u + -5u = 7 + 5u + -5u Combine like terms: 2u + -5u = -3u 13 + -3u = 7 + 5u + -5u Combine like terms: 5u + -5u = 0 13 + -3u = 7 + 0 13 + -3u = 7 Add '-13' to each side of the equation. 13 + -13 + -3u = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -3u = 7 + -13 -3u = 7 + -13 Combine like terms: 7 + -13 = -6 -3u = -6 Divide each side by '-3'. u = 2 Simplifying u = 2
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