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Simplifying 4u + 6 = 3u + 21 Reorder the terms: 6 + 4u = 3u + 21 Reorder the terms: 6 + 4u = 21 + 3u Solving 6 + 4u = 21 + 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. 6 + 4u + -3u = 21 + 3u + -3u Combine like terms: 4u + -3u = 1u 6 + 1u = 21 + 3u + -3u Combine like terms: 3u + -3u = 0 6 + 1u = 21 + 0 6 + 1u = 21 Add '-6' to each side of the equation. 6 + -6 + 1u = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 1u = 21 + -6 1u = 21 + -6 Combine like terms: 21 + -6 = 15 1u = 15 Divide each side by '1'. u = 15 Simplifying u = 15
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