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Simplifying -38 = 6(u + -5) + -8u Reorder the terms: -38 = 6(-5 + u) + -8u -38 = (-5 * 6 + u * 6) + -8u -38 = (-30 + 6u) + -8u Combine like terms: 6u + -8u = -2u -38 = -30 + -2u Solving -38 = -30 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. -38 + 2u = -30 + -2u + 2u Combine like terms: -2u + 2u = 0 -38 + 2u = -30 + 0 -38 + 2u = -30 Add '38' to each side of the equation. -38 + 38 + 2u = -30 + 38 Combine like terms: -38 + 38 = 0 0 + 2u = -30 + 38 2u = -30 + 38 Combine like terms: -30 + 38 = 8 2u = 8 Divide each side by '2'. u = 4 Simplifying u = 4
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