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Simplifying 3(u + 5) = 7u + 47 Reorder the terms: 3(5 + u) = 7u + 47 (5 * 3 + u * 3) = 7u + 47 (15 + 3u) = 7u + 47 Reorder the terms: 15 + 3u = 47 + 7u Solving 15 + 3u = 47 + 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. 15 + 3u + -7u = 47 + 7u + -7u Combine like terms: 3u + -7u = -4u 15 + -4u = 47 + 7u + -7u Combine like terms: 7u + -7u = 0 15 + -4u = 47 + 0 15 + -4u = 47 Add '-15' to each side of the equation. 15 + -15 + -4u = 47 + -15 Combine like terms: 15 + -15 = 0 0 + -4u = 47 + -15 -4u = 47 + -15 Combine like terms: 47 + -15 = 32 -4u = 32 Divide each side by '-4'. u = -8 Simplifying u = -8
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