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Simplifying 3(u + 9) = -3(5u + -8) + 3u Reorder the terms: 3(9 + u) = -3(5u + -8) + 3u (9 * 3 + u * 3) = -3(5u + -8) + 3u (27 + 3u) = -3(5u + -8) + 3u Reorder the terms: 27 + 3u = -3(-8 + 5u) + 3u 27 + 3u = (-8 * -3 + 5u * -3) + 3u 27 + 3u = (24 + -15u) + 3u Combine like terms: -15u + 3u = -12u 27 + 3u = 24 + -12u Solving 27 + 3u = 24 + -12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '12u' to each side of the equation. 27 + 3u + 12u = 24 + -12u + 12u Combine like terms: 3u + 12u = 15u 27 + 15u = 24 + -12u + 12u Combine like terms: -12u + 12u = 0 27 + 15u = 24 + 0 27 + 15u = 24 Add '-27' to each side of the equation. 27 + -27 + 15u = 24 + -27 Combine like terms: 27 + -27 = 0 0 + 15u = 24 + -27 15u = 24 + -27 Combine like terms: 24 + -27 = -3 15u = -3 Divide each side by '15'. u = -0.2 Simplifying u = -0.2
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