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Simplifying -66.03 + 86.85 + -96.2u = 43u + 9(-16.5u + -30.96) Combine like terms: -66.03 + 86.85 = 20.82 20.82 + -96.2u = 43u + 9(-16.5u + -30.96) Reorder the terms: 20.82 + -96.2u = 43u + 9(-30.96 + -16.5u) 20.82 + -96.2u = 43u + (-30.96 * 9 + -16.5u * 9) 20.82 + -96.2u = 43u + (-278.64 + -148.5u) Reorder the terms: 20.82 + -96.2u = -278.64 + 43u + -148.5u Combine like terms: 43u + -148.5u = -105.5u 20.82 + -96.2u = -278.64 + -105.5u Solving 20.82 + -96.2u = -278.64 + -105.5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '105.5u' to each side of the equation. 20.82 + -96.2u + 105.5u = -278.64 + -105.5u + 105.5u Combine like terms: -96.2u + 105.5u = 9.3u 20.82 + 9.3u = -278.64 + -105.5u + 105.5u Combine like terms: -105.5u + 105.5u = 0.0 20.82 + 9.3u = -278.64 + 0.0 20.82 + 9.3u = -278.64 Add '-20.82' to each side of the equation. 20.82 + -20.82 + 9.3u = -278.64 + -20.82 Combine like terms: 20.82 + -20.82 = 0.00 0.00 + 9.3u = -278.64 + -20.82 9.3u = -278.64 + -20.82 Combine like terms: -278.64 + -20.82 = -299.46 9.3u = -299.46 Divide each side by '9.3'. u = -32.2 Simplifying u = -32.2
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