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Simplifying -14 = 2(u + 8) + -7u Reorder the terms: -14 = 2(8 + u) + -7u -14 = (8 * 2 + u * 2) + -7u -14 = (16 + 2u) + -7u Combine like terms: 2u + -7u = -5u -14 = 16 + -5u Solving -14 = 16 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. -14 + 5u = 16 + -5u + 5u Combine like terms: -5u + 5u = 0 -14 + 5u = 16 + 0 -14 + 5u = 16 Add '14' to each side of the equation. -14 + 14 + 5u = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 5u = 16 + 14 5u = 16 + 14 Combine like terms: 16 + 14 = 30 5u = 30 Divide each side by '5'. u = 6 Simplifying u = 6
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