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Simplifying -33 = 5(u + -6) + -8u Reorder the terms: -33 = 5(-6 + u) + -8u -33 = (-6 * 5 + u * 5) + -8u -33 = (-30 + 5u) + -8u Combine like terms: 5u + -8u = -3u -33 = -30 + -3u Solving -33 = -30 + -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 + 3u = -30 + -3u + 3u Combine like terms: -3u + 3u = 0 -33 + 3u = -30 + 0 -33 + 3u = -30 Add '33' to each side of the equation. -33 + 33 + 3u = -30 + 33 Combine like terms: -33 + 33 = 0 0 + 3u = -30 + 33 3u = -30 + 33 Combine like terms: -30 + 33 = 3 3u = 3 Divide each side by '3'. u = 1 Simplifying u = 1
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