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Simplifying 3u + -9 + 3(3u + 1) = -6(u + 3) Reorder the terms: 3u + -9 + 3(1 + 3u) = -6(u + 3) 3u + -9 + (1 * 3 + 3u * 3) = -6(u + 3) 3u + -9 + (3 + 9u) = -6(u + 3) Reorder the terms: -9 + 3 + 3u + 9u = -6(u + 3) Combine like terms: -9 + 3 = -6 -6 + 3u + 9u = -6(u + 3) Combine like terms: 3u + 9u = 12u -6 + 12u = -6(u + 3) Reorder the terms: -6 + 12u = -6(3 + u) -6 + 12u = (3 * -6 + u * -6) -6 + 12u = (-18 + -6u) Solving -6 + 12u = -18 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. -6 + 12u + 6u = -18 + -6u + 6u Combine like terms: 12u + 6u = 18u -6 + 18u = -18 + -6u + 6u Combine like terms: -6u + 6u = 0 -6 + 18u = -18 + 0 -6 + 18u = -18 Add '6' to each side of the equation. -6 + 6 + 18u = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 18u = -18 + 6 18u = -18 + 6 Combine like terms: -18 + 6 = -12 18u = -12 Divide each side by '18'. u = -0.6666666667 Simplifying u = -0.6666666667
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