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Simplifying 3u + 9 = 7(u + 7) Reorder the terms: 9 + 3u = 7(u + 7) Reorder the terms: 9 + 3u = 7(7 + u) 9 + 3u = (7 * 7 + u * 7) 9 + 3u = (49 + 7u) Solving 9 + 3u = 49 + 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. 9 + 3u + -7u = 49 + 7u + -7u Combine like terms: 3u + -7u = -4u 9 + -4u = 49 + 7u + -7u Combine like terms: 7u + -7u = 0 9 + -4u = 49 + 0 9 + -4u = 49 Add '-9' to each side of the equation. 9 + -9 + -4u = 49 + -9 Combine like terms: 9 + -9 = 0 0 + -4u = 49 + -9 -4u = 49 + -9 Combine like terms: 49 + -9 = 40 -4u = 40 Divide each side by '-4'. u = -10 Simplifying u = -10
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