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Simplifying 3(u + 1) = 5u + 7 Reorder the terms: 3(1 + u) = 5u + 7 (1 * 3 + u * 3) = 5u + 7 (3 + 3u) = 5u + 7 Reorder the terms: 3 + 3u = 7 + 5u Solving 3 + 3u = 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. 3 + 3u + -5u = 7 + 5u + -5u Combine like terms: 3u + -5u = -2u 3 + -2u = 7 + 5u + -5u Combine like terms: 5u + -5u = 0 3 + -2u = 7 + 0 3 + -2u = 7 Add '-3' to each side of the equation. 3 + -3 + -2u = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -2u = 7 + -3 -2u = 7 + -3 Combine like terms: 7 + -3 = 4 -2u = 4 Divide each side by '-2'. u = -2 Simplifying u = -2
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