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Simplifying 8u + 1 = 4u + 9 Reorder the terms: 1 + 8u = 4u + 9 Reorder the terms: 1 + 8u = 9 + 4u Solving 1 + 8u = 9 + 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. 1 + 8u + -4u = 9 + 4u + -4u Combine like terms: 8u + -4u = 4u 1 + 4u = 9 + 4u + -4u Combine like terms: 4u + -4u = 0 1 + 4u = 9 + 0 1 + 4u = 9 Add '-1' to each side of the equation. 1 + -1 + 4u = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4u = 9 + -1 4u = 9 + -1 Combine like terms: 9 + -1 = 8 4u = 8 Divide each side by '4'. u = 2 Simplifying u = 2
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