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Simplifying 4(u + 5) = -8u + -40 Reorder the terms: 4(5 + u) = -8u + -40 (5 * 4 + u * 4) = -8u + -40 (20 + 4u) = -8u + -40 Reorder the terms: 20 + 4u = -40 + -8u Solving 20 + 4u = -40 + -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. 20 + 4u + 8u = -40 + -8u + 8u Combine like terms: 4u + 8u = 12u 20 + 12u = -40 + -8u + 8u Combine like terms: -8u + 8u = 0 20 + 12u = -40 + 0 20 + 12u = -40 Add '-20' to each side of the equation. 20 + -20 + 12u = -40 + -20 Combine like terms: 20 + -20 = 0 0 + 12u = -40 + -20 12u = -40 + -20 Combine like terms: -40 + -20 = -60 12u = -60 Divide each side by '12'. u = -5 Simplifying u = -5
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