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Simplifying 33 = 6(u + 8) + -3u Reorder the terms: 33 = 6(8 + u) + -3u 33 = (8 * 6 + u * 6) + -3u 33 = (48 + 6u) + -3u Combine like terms: 6u + -3u = 3u 33 = 48 + 3u Solving 33 = 48 + 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 = 48 + 3u + -3u Combine like terms: 3u + -3u = 0 33 + -3u = 48 + 0 33 + -3u = 48 Add '-33' to each side of the equation. 33 + -33 + -3u = 48 + -33 Combine like terms: 33 + -33 = 0 0 + -3u = 48 + -33 -3u = 48 + -33 Combine like terms: 48 + -33 = 15 -3u = 15 Divide each side by '-3'. u = -5 Simplifying u = -5
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