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Simplifying 3(u + 6) = 7u Reorder the terms: 3(6 + u) = 7u (6 * 3 + u * 3) = 7u (18 + 3u) = 7u Solving 18 + 3u = 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. 18 + 3u + -7u = 7u + -7u Combine like terms: 3u + -7u = -4u 18 + -4u = 7u + -7u Combine like terms: 7u + -7u = 0 18 + -4u = 0 Add '-18' to each side of the equation. 18 + -18 + -4u = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -4u = 0 + -18 -4u = 0 + -18 Combine like terms: 0 + -18 = -18 -4u = -18 Divide each side by '-4'. u = 4.5 Simplifying u = 4.5
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