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Simplifying -2(u + 1) + 7 = 3(u + 6) Reorder the terms: -2(1 + u) + 7 = 3(u + 6) (1 * -2 + u * -2) + 7 = 3(u + 6) (-2 + -2u) + 7 = 3(u + 6) Reorder the terms: -2 + 7 + -2u = 3(u + 6) Combine like terms: -2 + 7 = 5 5 + -2u = 3(u + 6) Reorder the terms: 5 + -2u = 3(6 + u) 5 + -2u = (6 * 3 + u * 3) 5 + -2u = (18 + 3u) Solving 5 + -2u = 18 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 5 + -2u + -3u = 18 + 3u + -3u Combine like terms: -2u + -3u = -5u 5 + -5u = 18 + 3u + -3u Combine like terms: 3u + -3u = 0 5 + -5u = 18 + 0 5 + -5u = 18 Add '-5' to each side of the equation. 5 + -5 + -5u = 18 + -5 Combine like terms: 5 + -5 = 0 0 + -5u = 18 + -5 -5u = 18 + -5 Combine like terms: 18 + -5 = 13 -5u = 13 Divide each side by '-5'. u = -2.6 Simplifying u = -2.6
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