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Simplifying 38 = 8u + 6(u + -3) Reorder the terms: 38 = 8u + 6(-3 + u) 38 = 8u + (-3 * 6 + u * 6) 38 = 8u + (-18 + 6u) Reorder the terms: 38 = -18 + 8u + 6u Combine like terms: 8u + 6u = 14u 38 = -18 + 14u Solving 38 = -18 + 14u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-14u' to each side of the equation. 38 + -14u = -18 + 14u + -14u Combine like terms: 14u + -14u = 0 38 + -14u = -18 + 0 38 + -14u = -18 Add '-38' to each side of the equation. 38 + -38 + -14u = -18 + -38 Combine like terms: 38 + -38 = 0 0 + -14u = -18 + -38 -14u = -18 + -38 Combine like terms: -18 + -38 = -56 -14u = -56 Divide each side by '-14'. u = 4 Simplifying u = 4
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