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Simplifying -14 = 2(u + 8) + -8u Reorder the terms: -14 = 2(8 + u) + -8u -14 = (8 * 2 + u * 2) + -8u -14 = (16 + 2u) + -8u Combine like terms: 2u + -8u = -6u -14 = 16 + -6u Solving -14 = 16 + -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. -14 + 6u = 16 + -6u + 6u Combine like terms: -6u + 6u = 0 -14 + 6u = 16 + 0 -14 + 6u = 16 Add '14' to each side of the equation. -14 + 14 + 6u = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 6u = 16 + 14 6u = 16 + 14 Combine like terms: 16 + 14 = 30 6u = 30 Divide each side by '6'. u = 5 Simplifying u = 5
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