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Simplifying -2(u + 2) + 7 = 3(u + 6) Reorder the terms: -2(2 + u) + 7 = 3(u + 6) (2 * -2 + u * -2) + 7 = 3(u + 6) (-4 + -2u) + 7 = 3(u + 6) Reorder the terms: -4 + 7 + -2u = 3(u + 6) Combine like terms: -4 + 7 = 3 3 + -2u = 3(u + 6) Reorder the terms: 3 + -2u = 3(6 + u) 3 + -2u = (6 * 3 + u * 3) 3 + -2u = (18 + 3u) Solving 3 + -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. 3 + -2u + -3u = 18 + 3u + -3u Combine like terms: -2u + -3u = -5u 3 + -5u = 18 + 3u + -3u Combine like terms: 3u + -3u = 0 3 + -5u = 18 + 0 3 + -5u = 18 Add '-3' to each side of the equation. 3 + -3 + -5u = 18 + -3 Combine like terms: 3 + -3 = 0 0 + -5u = 18 + -3 -5u = 18 + -3 Combine like terms: 18 + -3 = 15 -5u = 15 Divide each side by '-5'. u = -3 Simplifying u = -3
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