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Simplifying 20u + -45 + -5u = 3u + -24 + -7 Reorder the terms: -45 + 20u + -5u = 3u + -24 + -7 Combine like terms: 20u + -5u = 15u -45 + 15u = 3u + -24 + -7 Reorder the terms: -45 + 15u = -24 + -7 + 3u Combine like terms: -24 + -7 = -31 -45 + 15u = -31 + 3u Solving -45 + 15u = -31 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -45 + 15u + -3u = -31 + 3u + -3u Combine like terms: 15u + -3u = 12u -45 + 12u = -31 + 3u + -3u Combine like terms: 3u + -3u = 0 -45 + 12u = -31 + 0 -45 + 12u = -31 Add '45' to each side of the equation. -45 + 45 + 12u = -31 + 45 Combine like terms: -45 + 45 = 0 0 + 12u = -31 + 45 12u = -31 + 45 Combine like terms: -31 + 45 = 14 12u = 14 Divide each side by '12'. u = 1.166666667 Simplifying u = 1.166666667
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