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Simplifying -38 = 2(u + -7) + -8u Reorder the terms: -38 = 2(-7 + u) + -8u -38 = (-7 * 2 + u * 2) + -8u -38 = (-14 + 2u) + -8u Combine like terms: 2u + -8u = -6u -38 = -14 + -6u Solving -38 = -14 + -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 = -14 + -6u + 6u Combine like terms: -6u + 6u = 0 -38 + 6u = -14 + 0 -38 + 6u = -14 Add '38' to each side of the equation. -38 + 38 + 6u = -14 + 38 Combine like terms: -38 + 38 = 0 0 + 6u = -14 + 38 6u = -14 + 38 Combine like terms: -14 + 38 = 24 6u = 24 Divide each side by '6'. u = 4 Simplifying u = 4
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