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Simplifying -6 = -6u + 3(u + -4) Reorder the terms: -6 = -6u + 3(-4 + u) -6 = -6u + (-4 * 3 + u * 3) -6 = -6u + (-12 + 3u) Reorder the terms: -6 = -12 + -6u + 3u Combine like terms: -6u + 3u = -3u -6 = -12 + -3u Solving -6 = -12 + -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. -6 + 3u = -12 + -3u + 3u Combine like terms: -3u + 3u = 0 -6 + 3u = -12 + 0 -6 + 3u = -12 Add '6' to each side of the equation. -6 + 6 + 3u = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 3u = -12 + 6 3u = -12 + 6 Combine like terms: -12 + 6 = -6 3u = -6 Divide each side by '3'. u = -2 Simplifying u = -2
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