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Simplifying -2(4u + -4) + 3u = 3(u + 6) Reorder the terms: -2(-4 + 4u) + 3u = 3(u + 6) (-4 * -2 + 4u * -2) + 3u = 3(u + 6) (8 + -8u) + 3u = 3(u + 6) Combine like terms: -8u + 3u = -5u 8 + -5u = 3(u + 6) Reorder the terms: 8 + -5u = 3(6 + u) 8 + -5u = (6 * 3 + u * 3) 8 + -5u = (18 + 3u) Solving 8 + -5u = 18 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 8 + -5u + -3u = 18 + 3u + -3u Combine like terms: -5u + -3u = -8u 8 + -8u = 18 + 3u + -3u Combine like terms: 3u + -3u = 0 8 + -8u = 18 + 0 8 + -8u = 18 Add '-8' to each side of the equation. 8 + -8 + -8u = 18 + -8 Combine like terms: 8 + -8 = 0 0 + -8u = 18 + -8 -8u = 18 + -8 Combine like terms: 18 + -8 = 10 -8u = 10 Divide each side by '-8'. u = -1.25 Simplifying u = -1.25
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