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Simplifying 2u + 47 = 5(u + 4) Reorder the terms: 47 + 2u = 5(u + 4) Reorder the terms: 47 + 2u = 5(4 + u) 47 + 2u = (4 * 5 + u * 5) 47 + 2u = (20 + 5u) Solving 47 + 2u = 20 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. 47 + 2u + -5u = 20 + 5u + -5u Combine like terms: 2u + -5u = -3u 47 + -3u = 20 + 5u + -5u Combine like terms: 5u + -5u = 0 47 + -3u = 20 + 0 47 + -3u = 20 Add '-47' to each side of the equation. 47 + -47 + -3u = 20 + -47 Combine like terms: 47 + -47 = 0 0 + -3u = 20 + -47 -3u = 20 + -47 Combine like terms: 20 + -47 = -27 -3u = -27 Divide each side by '-3'. u = 9 Simplifying u = 9
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