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Simplifying 3u + 27 = 7(u + 9) Reorder the terms: 27 + 3u = 7(u + 9) Reorder the terms: 27 + 3u = 7(9 + u) 27 + 3u = (9 * 7 + u * 7) 27 + 3u = (63 + 7u) Solving 27 + 3u = 63 + 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. 27 + 3u + -7u = 63 + 7u + -7u Combine like terms: 3u + -7u = -4u 27 + -4u = 63 + 7u + -7u Combine like terms: 7u + -7u = 0 27 + -4u = 63 + 0 27 + -4u = 63 Add '-27' to each side of the equation. 27 + -27 + -4u = 63 + -27 Combine like terms: 27 + -27 = 0 0 + -4u = 63 + -27 -4u = 63 + -27 Combine like terms: 63 + -27 = 36 -4u = 36 Divide each side by '-4'. u = -9 Simplifying u = -9
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