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Simplifying 7u + 47 = 3(u + 9) Reorder the terms: 47 + 7u = 3(u + 9) Reorder the terms: 47 + 7u = 3(9 + u) 47 + 7u = (9 * 3 + u * 3) 47 + 7u = (27 + 3u) Solving 47 + 7u = 27 + 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. 47 + 7u + -3u = 27 + 3u + -3u Combine like terms: 7u + -3u = 4u 47 + 4u = 27 + 3u + -3u Combine like terms: 3u + -3u = 0 47 + 4u = 27 + 0 47 + 4u = 27 Add '-47' to each side of the equation. 47 + -47 + 4u = 27 + -47 Combine like terms: 47 + -47 = 0 0 + 4u = 27 + -47 4u = 27 + -47 Combine like terms: 27 + -47 = -20 4u = -20 Divide each side by '4'. u = -5 Simplifying u = -5
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