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Simplifying 12 + -0.5(u + -5) = 0.9(7u + -5) Reorder the terms: 12 + -0.5(-5 + u) = 0.9(7u + -5) 12 + (-5 * -0.5 + u * -0.5) = 0.9(7u + -5) 12 + (2.5 + -0.5u) = 0.9(7u + -5) Combine like terms: 12 + 2.5 = 14.5 14.5 + -0.5u = 0.9(7u + -5) Reorder the terms: 14.5 + -0.5u = 0.9(-5 + 7u) 14.5 + -0.5u = (-5 * 0.9 + 7u * 0.9) 14.5 + -0.5u = (-4.5 + 6.3u) Solving 14.5 + -0.5u = -4.5 + 6.3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6.3u' to each side of the equation. 14.5 + -0.5u + -6.3u = -4.5 + 6.3u + -6.3u Combine like terms: -0.5u + -6.3u = -6.8u 14.5 + -6.8u = -4.5 + 6.3u + -6.3u Combine like terms: 6.3u + -6.3u = 0.0 14.5 + -6.8u = -4.5 + 0.0 14.5 + -6.8u = -4.5 Add '-14.5' to each side of the equation. 14.5 + -14.5 + -6.8u = -4.5 + -14.5 Combine like terms: 14.5 + -14.5 = 0.0 0.0 + -6.8u = -4.5 + -14.5 -6.8u = -4.5 + -14.5 Combine like terms: -4.5 + -14.5 = -19 -6.8u = -19 Divide each side by '-6.8'. u = 2.794117647 Simplifying u = 2.794117647
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