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Simplifying -3u + 1 = -8(u + 3) Reorder the terms: 1 + -3u = -8(u + 3) Reorder the terms: 1 + -3u = -8(3 + u) 1 + -3u = (3 * -8 + u * -8) 1 + -3u = (-24 + -8u) Solving 1 + -3u = -24 + -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. 1 + -3u + 8u = -24 + -8u + 8u Combine like terms: -3u + 8u = 5u 1 + 5u = -24 + -8u + 8u Combine like terms: -8u + 8u = 0 1 + 5u = -24 + 0 1 + 5u = -24 Add '-1' to each side of the equation. 1 + -1 + 5u = -24 + -1 Combine like terms: 1 + -1 = 0 0 + 5u = -24 + -1 5u = -24 + -1 Combine like terms: -24 + -1 = -25 5u = -25 Divide each side by '5'. u = -5 Simplifying u = -5
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