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Simplifying 5(u + 1) = -4u + 41 Reorder the terms: 5(1 + u) = -4u + 41 (1 * 5 + u * 5) = -4u + 41 (5 + 5u) = -4u + 41 Reorder the terms: 5 + 5u = 41 + -4u Solving 5 + 5u = 41 + -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 = 41 + -4u + 4u Combine like terms: 5u + 4u = 9u 5 + 9u = 41 + -4u + 4u Combine like terms: -4u + 4u = 0 5 + 9u = 41 + 0 5 + 9u = 41 Add '-5' to each side of the equation. 5 + -5 + 9u = 41 + -5 Combine like terms: 5 + -5 = 0 0 + 9u = 41 + -5 9u = 41 + -5 Combine like terms: 41 + -5 = 36 9u = 36 Divide each side by '9'. u = 4 Simplifying u = 4
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