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Simplifying -6u + -33 = -3(u + 5) Reorder the terms: -33 + -6u = -3(u + 5) Reorder the terms: -33 + -6u = -3(5 + u) -33 + -6u = (5 * -3 + u * -3) -33 + -6u = (-15 + -3u) Solving -33 + -6u = -15 + -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. -33 + -6u + 3u = -15 + -3u + 3u Combine like terms: -6u + 3u = -3u -33 + -3u = -15 + -3u + 3u Combine like terms: -3u + 3u = 0 -33 + -3u = -15 + 0 -33 + -3u = -15 Add '33' to each side of the equation. -33 + 33 + -3u = -15 + 33 Combine like terms: -33 + 33 = 0 0 + -3u = -15 + 33 -3u = -15 + 33 Combine like terms: -15 + 33 = 18 -3u = 18 Divide each side by '-3'. u = -6 Simplifying u = -6
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