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Simplifying 3(u + 2) = 7u + 46 Reorder the terms: 3(2 + u) = 7u + 46 (2 * 3 + u * 3) = 7u + 46 (6 + 3u) = 7u + 46 Reorder the terms: 6 + 3u = 46 + 7u Solving 6 + 3u = 46 + 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. 6 + 3u + -7u = 46 + 7u + -7u Combine like terms: 3u + -7u = -4u 6 + -4u = 46 + 7u + -7u Combine like terms: 7u + -7u = 0 6 + -4u = 46 + 0 6 + -4u = 46 Add '-6' to each side of the equation. 6 + -6 + -4u = 46 + -6 Combine like terms: 6 + -6 = 0 0 + -4u = 46 + -6 -4u = 46 + -6 Combine like terms: 46 + -6 = 40 -4u = 40 Divide each side by '-4'. u = -10 Simplifying u = -10
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