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Simplifying 3(u + 6) = -3(7u + -4) + 9u Reorder the terms: 3(6 + u) = -3(7u + -4) + 9u (6 * 3 + u * 3) = -3(7u + -4) + 9u (18 + 3u) = -3(7u + -4) + 9u Reorder the terms: 18 + 3u = -3(-4 + 7u) + 9u 18 + 3u = (-4 * -3 + 7u * -3) + 9u 18 + 3u = (12 + -21u) + 9u Combine like terms: -21u + 9u = -12u 18 + 3u = 12 + -12u Solving 18 + 3u = 12 + -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 + 3u + 12u = 12 + -12u + 12u Combine like terms: 3u + 12u = 15u 18 + 15u = 12 + -12u + 12u Combine like terms: -12u + 12u = 0 18 + 15u = 12 + 0 18 + 15u = 12 Add '-18' to each side of the equation. 18 + -18 + 15u = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 15u = 12 + -18 15u = 12 + -18 Combine like terms: 12 + -18 = -6 15u = -6 Divide each side by '15'. u = -0.4 Simplifying u = -0.4
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