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Simplifying 6(u + 5) = -3(7u + -6) + 9u Reorder the terms: 6(5 + u) = -3(7u + -6) + 9u (5 * 6 + u * 6) = -3(7u + -6) + 9u (30 + 6u) = -3(7u + -6) + 9u Reorder the terms: 30 + 6u = -3(-6 + 7u) + 9u 30 + 6u = (-6 * -3 + 7u * -3) + 9u 30 + 6u = (18 + -21u) + 9u Combine like terms: -21u + 9u = -12u 30 + 6u = 18 + -12u Solving 30 + 6u = 18 + -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. 30 + 6u + 12u = 18 + -12u + 12u Combine like terms: 6u + 12u = 18u 30 + 18u = 18 + -12u + 12u Combine like terms: -12u + 12u = 0 30 + 18u = 18 + 0 30 + 18u = 18 Add '-30' to each side of the equation. 30 + -30 + 18u = 18 + -30 Combine like terms: 30 + -30 = 0 0 + 18u = 18 + -30 18u = 18 + -30 Combine like terms: 18 + -30 = -12 18u = -12 Divide each side by '18'. u = -0.6666666667 Simplifying u = -0.6666666667
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