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Simplifying 6(u + 3) = -2(9u + -3) + 6u Reorder the terms: 6(3 + u) = -2(9u + -3) + 6u (3 * 6 + u * 6) = -2(9u + -3) + 6u (18 + 6u) = -2(9u + -3) + 6u Reorder the terms: 18 + 6u = -2(-3 + 9u) + 6u 18 + 6u = (-3 * -2 + 9u * -2) + 6u 18 + 6u = (6 + -18u) + 6u Combine like terms: -18u + 6u = -12u 18 + 6u = 6 + -12u Solving 18 + 6u = 6 + -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. 18 + 6u + 12u = 6 + -12u + 12u Combine like terms: 6u + 12u = 18u 18 + 18u = 6 + -12u + 12u Combine like terms: -12u + 12u = 0 18 + 18u = 6 + 0 18 + 18u = 6 Add '-18' to each side of the equation. 18 + -18 + 18u = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 18u = 6 + -18 18u = 6 + -18 Combine like terms: 6 + -18 = -12 18u = -12 Divide each side by '18'. u = -0.6666666667 Simplifying u = -0.6666666667
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