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Simplifying 3u + -4 + 3(4u + 3) = -3(u + 3) Reorder the terms: 3u + -4 + 3(3 + 4u) = -3(u + 3) 3u + -4 + (3 * 3 + 4u * 3) = -3(u + 3) 3u + -4 + (9 + 12u) = -3(u + 3) Reorder the terms: -4 + 9 + 3u + 12u = -3(u + 3) Combine like terms: -4 + 9 = 5 5 + 3u + 12u = -3(u + 3) Combine like terms: 3u + 12u = 15u 5 + 15u = -3(u + 3) Reorder the terms: 5 + 15u = -3(3 + u) 5 + 15u = (3 * -3 + u * -3) 5 + 15u = (-9 + -3u) Solving 5 + 15u = -9 + -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. 5 + 15u + 3u = -9 + -3u + 3u Combine like terms: 15u + 3u = 18u 5 + 18u = -9 + -3u + 3u Combine like terms: -3u + 3u = 0 5 + 18u = -9 + 0 5 + 18u = -9 Add '-5' to each side of the equation. 5 + -5 + 18u = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 18u = -9 + -5 18u = -9 + -5 Combine like terms: -9 + -5 = -14 18u = -14 Divide each side by '18'. u = -0.7777777778 Simplifying u = -0.7777777778
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