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Simplifying -2(u + 4) = 3u + -38 Reorder the terms: -2(4 + u) = 3u + -38 (4 * -2 + u * -2) = 3u + -38 (-8 + -2u) = 3u + -38 Reorder the terms: -8 + -2u = -38 + 3u Solving -8 + -2u = -38 + 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. -8 + -2u + -3u = -38 + 3u + -3u Combine like terms: -2u + -3u = -5u -8 + -5u = -38 + 3u + -3u Combine like terms: 3u + -3u = 0 -8 + -5u = -38 + 0 -8 + -5u = -38 Add '8' to each side of the equation. -8 + 8 + -5u = -38 + 8 Combine like terms: -8 + 8 = 0 0 + -5u = -38 + 8 -5u = -38 + 8 Combine like terms: -38 + 8 = -30 -5u = -30 Divide each side by '-5'. u = 6 Simplifying u = 6
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