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Simplifying 5(u + -1) = 4(1 + -1u) + 81 Reorder the terms: 5(-1 + u) = 4(1 + -1u) + 81 (-1 * 5 + u * 5) = 4(1 + -1u) + 81 (-5 + 5u) = 4(1 + -1u) + 81 -5 + 5u = (1 * 4 + -1u * 4) + 81 -5 + 5u = (4 + -4u) + 81 Reorder the terms: -5 + 5u = 4 + 81 + -4u Combine like terms: 4 + 81 = 85 -5 + 5u = 85 + -4u Solving -5 + 5u = 85 + -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. -5 + 5u + 4u = 85 + -4u + 4u Combine like terms: 5u + 4u = 9u -5 + 9u = 85 + -4u + 4u Combine like terms: -4u + 4u = 0 -5 + 9u = 85 + 0 -5 + 9u = 85 Add '5' to each side of the equation. -5 + 5 + 9u = 85 + 5 Combine like terms: -5 + 5 = 0 0 + 9u = 85 + 5 9u = 85 + 5 Combine like terms: 85 + 5 = 90 9u = 90 Divide each side by '9'. u = 10 Simplifying u = 10
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