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Simplifying -27 = 3(u + -4) + -8u Reorder the terms: -27 = 3(-4 + u) + -8u -27 = (-4 * 3 + u * 3) + -8u -27 = (-12 + 3u) + -8u Combine like terms: 3u + -8u = -5u -27 = -12 + -5u Solving -27 = -12 + -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. -27 + 5u = -12 + -5u + 5u Combine like terms: -5u + 5u = 0 -27 + 5u = -12 + 0 -27 + 5u = -12 Add '27' to each side of the equation. -27 + 27 + 5u = -12 + 27 Combine like terms: -27 + 27 = 0 0 + 5u = -12 + 27 5u = -12 + 27 Combine like terms: -12 + 27 = 15 5u = 15 Divide each side by '5'. u = 3 Simplifying u = 3
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