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Simplifying 3u + -27 = -8(u + -9) Reorder the terms: -27 + 3u = -8(u + -9) Reorder the terms: -27 + 3u = -8(-9 + u) -27 + 3u = (-9 * -8 + u * -8) -27 + 3u = (72 + -8u) Solving -27 + 3u = 72 + -8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8u' to each side of the equation. -27 + 3u + 8u = 72 + -8u + 8u Combine like terms: 3u + 8u = 11u -27 + 11u = 72 + -8u + 8u Combine like terms: -8u + 8u = 0 -27 + 11u = 72 + 0 -27 + 11u = 72 Add '27' to each side of the equation. -27 + 27 + 11u = 72 + 27 Combine like terms: -27 + 27 = 0 0 + 11u = 72 + 27 11u = 72 + 27 Combine like terms: 72 + 27 = 99 11u = 99 Divide each side by '11'. u = 9 Simplifying u = 9
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