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Simplifying -14 = 4(u + -8) + -6u Reorder the terms: -14 = 4(-8 + u) + -6u -14 = (-8 * 4 + u * 4) + -6u -14 = (-32 + 4u) + -6u Combine like terms: 4u + -6u = -2u -14 = -32 + -2u Solving -14 = -32 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. -14 + 2u = -32 + -2u + 2u Combine like terms: -2u + 2u = 0 -14 + 2u = -32 + 0 -14 + 2u = -32 Add '14' to each side of the equation. -14 + 14 + 2u = -32 + 14 Combine like terms: -14 + 14 = 0 0 + 2u = -32 + 14 2u = -32 + 14 Combine like terms: -32 + 14 = -18 2u = -18 Divide each side by '2'. u = -9 Simplifying u = -9
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