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Simplifying -38 = 4(u + -6) + -6u Reorder the terms: -38 = 4(-6 + u) + -6u -38 = (-6 * 4 + u * 4) + -6u -38 = (-24 + 4u) + -6u Combine like terms: 4u + -6u = -2u -38 = -24 + -2u Solving -38 = -24 + -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 = -24 + -2u + 2u Combine like terms: -2u + 2u = 0 -38 + 2u = -24 + 0 -38 + 2u = -24 Add '38' to each side of the equation. -38 + 38 + 2u = -24 + 38 Combine like terms: -38 + 38 = 0 0 + 2u = -24 + 38 2u = -24 + 38 Combine like terms: -24 + 38 = 14 2u = 14 Divide each side by '2'. u = 7 Simplifying u = 7
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