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Simplifying 0.75(11 + 2u) = 7u + 2 (11 * 0.75 + 2u * 0.75) = 7u + 2 (8.25 + 1.5u) = 7u + 2 Reorder the terms: 8.25 + 1.5u = 2 + 7u Solving 8.25 + 1.5u = 2 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 8.25 + 1.5u + -7u = 2 + 7u + -7u Combine like terms: 1.5u + -7u = -5.5u 8.25 + -5.5u = 2 + 7u + -7u Combine like terms: 7u + -7u = 0 8.25 + -5.5u = 2 + 0 8.25 + -5.5u = 2 Add '-8.25' to each side of the equation. 8.25 + -8.25 + -5.5u = 2 + -8.25 Combine like terms: 8.25 + -8.25 = 0.00 0.00 + -5.5u = 2 + -8.25 -5.5u = 2 + -8.25 Combine like terms: 2 + -8.25 = -6.25 -5.5u = -6.25 Divide each side by '-5.5'. u = 1.136363636 Simplifying u = 1.136363636
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