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Simplifying 3(u + 4) = -2(3u + -3) + u Reorder the terms: 3(4 + u) = -2(3u + -3) + u (4 * 3 + u * 3) = -2(3u + -3) + u (12 + 3u) = -2(3u + -3) + u Reorder the terms: 12 + 3u = -2(-3 + 3u) + u 12 + 3u = (-3 * -2 + 3u * -2) + u 12 + 3u = (6 + -6u) + u Combine like terms: -6u + u = -5u 12 + 3u = 6 + -5u Solving 12 + 3u = 6 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. 12 + 3u + 5u = 6 + -5u + 5u Combine like terms: 3u + 5u = 8u 12 + 8u = 6 + -5u + 5u Combine like terms: -5u + 5u = 0 12 + 8u = 6 + 0 12 + 8u = 6 Add '-12' to each side of the equation. 12 + -12 + 8u = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 8u = 6 + -12 8u = 6 + -12 Combine like terms: 6 + -12 = -6 8u = -6 Divide each side by '8'. u = -0.75 Simplifying u = -0.75
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