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Simplifying 2u + 3 = -3(u + 9) Reorder the terms: 3 + 2u = -3(u + 9) Reorder the terms: 3 + 2u = -3(9 + u) 3 + 2u = (9 * -3 + u * -3) 3 + 2u = (-27 + -3u) Solving 3 + 2u = -27 + -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. 3 + 2u + 3u = -27 + -3u + 3u Combine like terms: 2u + 3u = 5u 3 + 5u = -27 + -3u + 3u Combine like terms: -3u + 3u = 0 3 + 5u = -27 + 0 3 + 5u = -27 Add '-3' to each side of the equation. 3 + -3 + 5u = -27 + -3 Combine like terms: 3 + -3 = 0 0 + 5u = -27 + -3 5u = -27 + -3 Combine like terms: -27 + -3 = -30 5u = -30 Divide each side by '5'. u = -6 Simplifying u = -6
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