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Simplifying 3u + -42 = -8(u + 8) Reorder the terms: -42 + 3u = -8(u + 8) Reorder the terms: -42 + 3u = -8(8 + u) -42 + 3u = (8 * -8 + u * -8) -42 + 3u = (-64 + -8u) Solving -42 + 3u = -64 + -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. -42 + 3u + 8u = -64 + -8u + 8u Combine like terms: 3u + 8u = 11u -42 + 11u = -64 + -8u + 8u Combine like terms: -8u + 8u = 0 -42 + 11u = -64 + 0 -42 + 11u = -64 Add '42' to each side of the equation. -42 + 42 + 11u = -64 + 42 Combine like terms: -42 + 42 = 0 0 + 11u = -64 + 42 11u = -64 + 42 Combine like terms: -64 + 42 = -22 11u = -22 Divide each side by '11'. u = -2 Simplifying u = -2
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