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Simplifying 6(u + 4) = -2(6u + -9) + 3u Reorder the terms: 6(4 + u) = -2(6u + -9) + 3u (4 * 6 + u * 6) = -2(6u + -9) + 3u (24 + 6u) = -2(6u + -9) + 3u Reorder the terms: 24 + 6u = -2(-9 + 6u) + 3u 24 + 6u = (-9 * -2 + 6u * -2) + 3u 24 + 6u = (18 + -12u) + 3u Combine like terms: -12u + 3u = -9u 24 + 6u = 18 + -9u Solving 24 + 6u = 18 + -9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '9u' to each side of the equation. 24 + 6u + 9u = 18 + -9u + 9u Combine like terms: 6u + 9u = 15u 24 + 15u = 18 + -9u + 9u Combine like terms: -9u + 9u = 0 24 + 15u = 18 + 0 24 + 15u = 18 Add '-24' to each side of the equation. 24 + -24 + 15u = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 15u = 18 + -24 15u = 18 + -24 Combine like terms: 18 + -24 = -6 15u = -6 Divide each side by '15'. u = -0.4 Simplifying u = -0.4
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