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Simplifying 3u + 1 = 4u + -9 Reorder the terms: 1 + 3u = 4u + -9 Reorder the terms: 1 + 3u = -9 + 4u Solving 1 + 3u = -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 + 3u + -4u = -9 + 4u + -4u Combine like terms: 3u + -4u = -1u 1 + -1u = -9 + 4u + -4u Combine like terms: 4u + -4u = 0 1 + -1u = -9 + 0 1 + -1u = -9 Add '-1' to each side of the equation. 1 + -1 + -1u = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -1u = -9 + -1 -1u = -9 + -1 Combine like terms: -9 + -1 = -10 -1u = -10 Divide each side by '-1'. u = 10 Simplifying u = 10
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