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Simplifying 6u + 21 = -3(u + 5) Reorder the terms: 21 + 6u = -3(u + 5) Reorder the terms: 21 + 6u = -3(5 + u) 21 + 6u = (5 * -3 + u * -3) 21 + 6u = (-15 + -3u) Solving 21 + 6u = -15 + -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. 21 + 6u + 3u = -15 + -3u + 3u Combine like terms: 6u + 3u = 9u 21 + 9u = -15 + -3u + 3u Combine like terms: -3u + 3u = 0 21 + 9u = -15 + 0 21 + 9u = -15 Add '-21' to each side of the equation. 21 + -21 + 9u = -15 + -21 Combine like terms: 21 + -21 = 0 0 + 9u = -15 + -21 9u = -15 + -21 Combine like terms: -15 + -21 = -36 9u = -36 Divide each side by '9'. u = -4 Simplifying u = -4
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