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