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Simplifying -8(u + 3) = u + 3 Reorder the terms: -8(3 + u) = u + 3 (3 * -8 + u * -8) = u + 3 (-24 + -8u) = u + 3 Reorder the terms: -24 + -8u = 3 + u Solving -24 + -8u = 3 + u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. -24 + -8u + -1u = 3 + u + -1u Combine like terms: -8u + -1u = -9u -24 + -9u = 3 + u + -1u Combine like terms: u + -1u = 0 -24 + -9u = 3 + 0 -24 + -9u = 3 Add '24' to each side of the equation. -24 + 24 + -9u = 3 + 24 Combine like terms: -24 + 24 = 0 0 + -9u = 3 + 24 -9u = 3 + 24 Combine like terms: 3 + 24 = 27 -9u = 27 Divide each side by '-9'. u = -3 Simplifying u = -3
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