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Simplifying 0.5(5u + -2) + -9(3u + -2) = 10 Reorder the terms: 0.5(-2 + 5u) + -9(3u + -2) = 10 (-2 * 0.5 + 5u * 0.5) + -9(3u + -2) = 10 (-1 + 2.5u) + -9(3u + -2) = 10 Reorder the terms: -1 + 2.5u + -9(-2 + 3u) = 10 -1 + 2.5u + (-2 * -9 + 3u * -9) = 10 -1 + 2.5u + (18 + -27u) = 10 Reorder the terms: -1 + 18 + 2.5u + -27u = 10 Combine like terms: -1 + 18 = 17 17 + 2.5u + -27u = 10 Combine like terms: 2.5u + -27u = -24.5u 17 + -24.5u = 10 Solving 17 + -24.5u = 10 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -24.5u = 10 + -17 Combine like terms: 17 + -17 = 0 0 + -24.5u = 10 + -17 -24.5u = 10 + -17 Combine like terms: 10 + -17 = -7 -24.5u = -7 Divide each side by '-24.5'. u = 0.2857142857 Simplifying u = 0.2857142857
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