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Simplifying -3u + -27 = -8(u + -1) Reorder the terms: -27 + -3u = -8(u + -1) Reorder the terms: -27 + -3u = -8(-1 + u) -27 + -3u = (-1 * -8 + u * -8) -27 + -3u = (8 + -8u) Solving -27 + -3u = 8 + -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 = 8 + -8u + 8u Combine like terms: -3u + 8u = 5u -27 + 5u = 8 + -8u + 8u Combine like terms: -8u + 8u = 0 -27 + 5u = 8 + 0 -27 + 5u = 8 Add '27' to each side of the equation. -27 + 27 + 5u = 8 + 27 Combine like terms: -27 + 27 = 0 0 + 5u = 8 + 27 5u = 8 + 27 Combine like terms: 8 + 27 = 35 5u = 35 Divide each side by '5'. u = 7 Simplifying u = 7
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