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Simplifying 4(u + 3) = -5u + -33 Reorder the terms: 4(3 + u) = -5u + -33 (3 * 4 + u * 4) = -5u + -33 (12 + 4u) = -5u + -33 Reorder the terms: 12 + 4u = -33 + -5u Solving 12 + 4u = -33 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. 12 + 4u + 5u = -33 + -5u + 5u Combine like terms: 4u + 5u = 9u 12 + 9u = -33 + -5u + 5u Combine like terms: -5u + 5u = 0 12 + 9u = -33 + 0 12 + 9u = -33 Add '-12' to each side of the equation. 12 + -12 + 9u = -33 + -12 Combine like terms: 12 + -12 = 0 0 + 9u = -33 + -12 9u = -33 + -12 Combine like terms: -33 + -12 = -45 9u = -45 Divide each side by '9'. u = -5 Simplifying u = -5
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