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Simplifying 12 + -0.5(u + -5) = 0.6(8u + -5) Reorder the terms: 12 + -0.5(-5 + u) = 0.6(8u + -5) 12 + (-5 * -0.5 + u * -0.5) = 0.6(8u + -5) 12 + (2.5 + -0.5u) = 0.6(8u + -5) Combine like terms: 12 + 2.5 = 14.5 14.5 + -0.5u = 0.6(8u + -5) Reorder the terms: 14.5 + -0.5u = 0.6(-5 + 8u) 14.5 + -0.5u = (-5 * 0.6 + 8u * 0.6) 14.5 + -0.5u = (-3 + 4.8u) Solving 14.5 + -0.5u = -3 + 4.8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4.8u' to each side of the equation. 14.5 + -0.5u + -4.8u = -3 + 4.8u + -4.8u Combine like terms: -0.5u + -4.8u = -5.3u 14.5 + -5.3u = -3 + 4.8u + -4.8u Combine like terms: 4.8u + -4.8u = 0.0 14.5 + -5.3u = -3 + 0.0 14.5 + -5.3u = -3 Add '-14.5' to each side of the equation. 14.5 + -14.5 + -5.3u = -3 + -14.5 Combine like terms: 14.5 + -14.5 = 0.0 0.0 + -5.3u = -3 + -14.5 -5.3u = -3 + -14.5 Combine like terms: -3 + -14.5 = -17.5 -5.3u = -17.5 Divide each side by '-5.3'. u = 3.301886792 Simplifying u = 3.301886792
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