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Simplifying -12 = 3(u + -8) + -6u Reorder the terms: -12 = 3(-8 + u) + -6u -12 = (-8 * 3 + u * 3) + -6u -12 = (-24 + 3u) + -6u Combine like terms: 3u + -6u = -3u -12 = -24 + -3u Solving -12 = -24 + -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. -12 + 3u = -24 + -3u + 3u Combine like terms: -3u + 3u = 0 -12 + 3u = -24 + 0 -12 + 3u = -24 Add '12' to each side of the equation. -12 + 12 + 3u = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 3u = -24 + 12 3u = -24 + 12 Combine like terms: -24 + 12 = -12 3u = -12 Divide each side by '3'. u = -4 Simplifying u = -4
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