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Simplifying 5(u + 9) = -8u + -33 Reorder the terms: 5(9 + u) = -8u + -33 (9 * 5 + u * 5) = -8u + -33 (45 + 5u) = -8u + -33 Reorder the terms: 45 + 5u = -33 + -8u Solving 45 + 5u = -33 + -8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8u' to each side of the equation. 45 + 5u + 8u = -33 + -8u + 8u Combine like terms: 5u + 8u = 13u 45 + 13u = -33 + -8u + 8u Combine like terms: -8u + 8u = 0 45 + 13u = -33 + 0 45 + 13u = -33 Add '-45' to each side of the equation. 45 + -45 + 13u = -33 + -45 Combine like terms: 45 + -45 = 0 0 + 13u = -33 + -45 13u = -33 + -45 Combine like terms: -33 + -45 = -78 13u = -78 Divide each side by '13'. u = -6 Simplifying u = -6
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