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Simplifying 3u + -9 + 3(4u + 2) = -3(u + 4) Reorder the terms: 3u + -9 + 3(2 + 4u) = -3(u + 4) 3u + -9 + (2 * 3 + 4u * 3) = -3(u + 4) 3u + -9 + (6 + 12u) = -3(u + 4) Reorder the terms: -9 + 6 + 3u + 12u = -3(u + 4) Combine like terms: -9 + 6 = -3 -3 + 3u + 12u = -3(u + 4) Combine like terms: 3u + 12u = 15u -3 + 15u = -3(u + 4) Reorder the terms: -3 + 15u = -3(4 + u) -3 + 15u = (4 * -3 + u * -3) -3 + 15u = (-12 + -3u) Solving -3 + 15u = -12 + -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 + 15u + 3u = -12 + -3u + 3u Combine like terms: 15u + 3u = 18u -3 + 18u = -12 + -3u + 3u Combine like terms: -3u + 3u = 0 -3 + 18u = -12 + 0 -3 + 18u = -12 Add '3' to each side of the equation. -3 + 3 + 18u = -12 + 3 Combine like terms: -3 + 3 = 0 0 + 18u = -12 + 3 18u = -12 + 3 Combine like terms: -12 + 3 = -9 18u = -9 Divide each side by '18'. u = -0.5 Simplifying u = -0.5
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