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Simplifying -3(u + 5) = 6u + -33 Reorder the terms: -3(5 + u) = 6u + -33 (5 * -3 + u * -3) = 6u + -33 (-15 + -3u) = 6u + -33 Reorder the terms: -15 + -3u = -33 + 6u Solving -15 + -3u = -33 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -15 + -3u + -6u = -33 + 6u + -6u Combine like terms: -3u + -6u = -9u -15 + -9u = -33 + 6u + -6u Combine like terms: 6u + -6u = 0 -15 + -9u = -33 + 0 -15 + -9u = -33 Add '15' to each side of the equation. -15 + 15 + -9u = -33 + 15 Combine like terms: -15 + 15 = 0 0 + -9u = -33 + 15 -9u = -33 + 15 Combine like terms: -33 + 15 = -18 -9u = -18 Divide each side by '-9'. u = 2 Simplifying u = 2
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