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Simplifying -5(u + 1) = 4u + 40 Reorder the terms: -5(1 + u) = 4u + 40 (1 * -5 + u * -5) = 4u + 40 (-5 + -5u) = 4u + 40 Reorder the terms: -5 + -5u = 40 + 4u Solving -5 + -5u = 40 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. -5 + -5u + -4u = 40 + 4u + -4u Combine like terms: -5u + -4u = -9u -5 + -9u = 40 + 4u + -4u Combine like terms: 4u + -4u = 0 -5 + -9u = 40 + 0 -5 + -9u = 40 Add '5' to each side of the equation. -5 + 5 + -9u = 40 + 5 Combine like terms: -5 + 5 = 0 0 + -9u = 40 + 5 -9u = 40 + 5 Combine like terms: 40 + 5 = 45 -9u = 45 Divide each side by '-9'. u = -5 Simplifying u = -5
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