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Simplifying 5(u + 1) = 90 + -4(10 + -1u) Reorder the terms: 5(1 + u) = 90 + -4(10 + -1u) (1 * 5 + u * 5) = 90 + -4(10 + -1u) (5 + 5u) = 90 + -4(10 + -1u) 5 + 5u = 90 + (10 * -4 + -1u * -4) 5 + 5u = 90 + (-40 + 4u) Combine like terms: 90 + -40 = 50 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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