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Simplifying -8u + 38 = -3(u + -6) Reorder the terms: 38 + -8u = -3(u + -6) Reorder the terms: 38 + -8u = -3(-6 + u) 38 + -8u = (-6 * -3 + u * -3) 38 + -8u = (18 + -3u) Solving 38 + -8u = 18 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. 38 + -8u + 3u = 18 + -3u + 3u Combine like terms: -8u + 3u = -5u 38 + -5u = 18 + -3u + 3u Combine like terms: -3u + 3u = 0 38 + -5u = 18 + 0 38 + -5u = 18 Add '-38' to each side of the equation. 38 + -38 + -5u = 18 + -38 Combine like terms: 38 + -38 = 0 0 + -5u = 18 + -38 -5u = 18 + -38 Combine like terms: 18 + -38 = -20 -5u = -20 Divide each side by '-5'. u = 4 Simplifying u = 4
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