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Simplifying 9(u + -9) = 4u + -31 Reorder the terms: 9(-9 + u) = 4u + -31 (-9 * 9 + u * 9) = 4u + -31 (-81 + 9u) = 4u + -31 Reorder the terms: -81 + 9u = -31 + 4u Solving -81 + 9u = -31 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. -81 + 9u + -4u = -31 + 4u + -4u Combine like terms: 9u + -4u = 5u -81 + 5u = -31 + 4u + -4u Combine like terms: 4u + -4u = 0 -81 + 5u = -31 + 0 -81 + 5u = -31 Add '81' to each side of the equation. -81 + 81 + 5u = -31 + 81 Combine like terms: -81 + 81 = 0 0 + 5u = -31 + 81 5u = -31 + 81 Combine like terms: -31 + 81 = 50 5u = 50 Divide each side by '5'. u = 10 Simplifying u = 10
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