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Simplifying -7(u + -1) = 3u + -33 Reorder the terms: -7(-1 + u) = 3u + -33 (-1 * -7 + u * -7) = 3u + -33 (7 + -7u) = 3u + -33 Reorder the terms: 7 + -7u = -33 + 3u Solving 7 + -7u = -33 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 7 + -7u + -3u = -33 + 3u + -3u Combine like terms: -7u + -3u = -10u 7 + -10u = -33 + 3u + -3u Combine like terms: 3u + -3u = 0 7 + -10u = -33 + 0 7 + -10u = -33 Add '-7' to each side of the equation. 7 + -7 + -10u = -33 + -7 Combine like terms: 7 + -7 = 0 0 + -10u = -33 + -7 -10u = -33 + -7 Combine like terms: -33 + -7 = -40 -10u = -40 Divide each side by '-10'. u = 4 Simplifying u = 4
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