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Simplifying 5[u + 1] = 50 + 4u Reorder the terms: 5[1 + u] = 50 + 4u [1 * 5 + u * 5] = 50 + 4u [5 + 5u] = 50 + 4u Solving 5 + 5u = 50 + 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 = 50 + 4u + -4u Combine like terms: 5u + -4u = 1u 5 + 1u = 50 + 4u + -4u Combine like terms: 4u + -4u = 0 5 + 1u = 50 + 0 5 + 1u = 50 Add '-5' to each side of the equation. 5 + -5 + 1u = 50 + -5 Combine like terms: 5 + -5 = 0 0 + 1u = 50 + -5 1u = 50 + -5 Combine like terms: 50 + -5 = 45 1u = 45 Divide each side by '1'. u = 45 Simplifying u = 45
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