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Simplifying 3(u + 2) + 2 = 7(u + -1) + 9 Reorder the terms: 3(2 + u) + 2 = 7(u + -1) + 9 (2 * 3 + u * 3) + 2 = 7(u + -1) + 9 (6 + 3u) + 2 = 7(u + -1) + 9 Reorder the terms: 6 + 2 + 3u = 7(u + -1) + 9 Combine like terms: 6 + 2 = 8 8 + 3u = 7(u + -1) + 9 Reorder the terms: 8 + 3u = 7(-1 + u) + 9 8 + 3u = (-1 * 7 + u * 7) + 9 8 + 3u = (-7 + 7u) + 9 Reorder the terms: 8 + 3u = -7 + 9 + 7u Combine like terms: -7 + 9 = 2 8 + 3u = 2 + 7u Solving 8 + 3u = 2 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 8 + 3u + -7u = 2 + 7u + -7u Combine like terms: 3u + -7u = -4u 8 + -4u = 2 + 7u + -7u Combine like terms: 7u + -7u = 0 8 + -4u = 2 + 0 8 + -4u = 2 Add '-8' to each side of the equation. 8 + -8 + -4u = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -4u = 2 + -8 -4u = 2 + -8 Combine like terms: 2 + -8 = -6 -4u = -6 Divide each side by '-4'. u = 1.5 Simplifying u = 1.5
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