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Simplifying 38 = 2(u + -5) + -8u Reorder the terms: 38 = 2(-5 + u) + -8u 38 = (-5 * 2 + u * 2) + -8u 38 = (-10 + 2u) + -8u Combine like terms: 2u + -8u = -6u 38 = -10 + -6u Solving 38 = -10 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. 38 + 6u = -10 + -6u + 6u Combine like terms: -6u + 6u = 0 38 + 6u = -10 + 0 38 + 6u = -10 Add '-38' to each side of the equation. 38 + -38 + 6u = -10 + -38 Combine like terms: 38 + -38 = 0 0 + 6u = -10 + -38 6u = -10 + -38 Combine like terms: -10 + -38 = -48 6u = -48 Divide each side by '6'. u = -8 Simplifying u = -8
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