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Simplifying -9(u + -5) = 3u + 21 Reorder the terms: -9(-5 + u) = 3u + 21 (-5 * -9 + u * -9) = 3u + 21 (45 + -9u) = 3u + 21 Reorder the terms: 45 + -9u = 21 + 3u Solving 45 + -9u = 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. 45 + -9u + -3u = 21 + 3u + -3u Combine like terms: -9u + -3u = -12u 45 + -12u = 21 + 3u + -3u Combine like terms: 3u + -3u = 0 45 + -12u = 21 + 0 45 + -12u = 21 Add '-45' to each side of the equation. 45 + -45 + -12u = 21 + -45 Combine like terms: 45 + -45 = 0 0 + -12u = 21 + -45 -12u = 21 + -45 Combine like terms: 21 + -45 = -24 -12u = -24 Divide each side by '-12'. u = 2 Simplifying u = 2
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