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Simplifying 3(u + 1) = -7u + 33 Reorder the terms: 3(1 + u) = -7u + 33 (1 * 3 + u * 3) = -7u + 33 (3 + 3u) = -7u + 33 Reorder the terms: 3 + 3u = 33 + -7u Solving 3 + 3u = 33 + -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. 3 + 3u + 7u = 33 + -7u + 7u Combine like terms: 3u + 7u = 10u 3 + 10u = 33 + -7u + 7u Combine like terms: -7u + 7u = 0 3 + 10u = 33 + 0 3 + 10u = 33 Add '-3' to each side of the equation. 3 + -3 + 10u = 33 + -3 Combine like terms: 3 + -3 = 0 0 + 10u = 33 + -3 10u = 33 + -3 Combine like terms: 33 + -3 = 30 10u = 30 Divide each side by '10'. u = 3 Simplifying u = 3
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