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Simplifying 6(u + -3) = 9u + -21 Reorder the terms: 6(-3 + u) = 9u + -21 (-3 * 6 + u * 6) = 9u + -21 (-18 + 6u) = 9u + -21 Reorder the terms: -18 + 6u = -21 + 9u Solving -18 + 6u = -21 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -18 + 6u + -9u = -21 + 9u + -9u Combine like terms: 6u + -9u = -3u -18 + -3u = -21 + 9u + -9u Combine like terms: 9u + -9u = 0 -18 + -3u = -21 + 0 -18 + -3u = -21 Add '18' to each side of the equation. -18 + 18 + -3u = -21 + 18 Combine like terms: -18 + 18 = 0 0 + -3u = -21 + 18 -3u = -21 + 18 Combine like terms: -21 + 18 = -3 -3u = -3 Divide each side by '-3'. u = 1 Simplifying u = 1
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