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Simplifying -8 = 4(u + 6) + -8u Reorder the terms: -8 = 4(6 + u) + -8u -8 = (6 * 4 + u * 4) + -8u -8 = (24 + 4u) + -8u Combine like terms: 4u + -8u = -4u -8 = 24 + -4u Solving -8 = 24 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. -8 + 4u = 24 + -4u + 4u Combine like terms: -4u + 4u = 0 -8 + 4u = 24 + 0 -8 + 4u = 24 Add '8' to each side of the equation. -8 + 8 + 4u = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 4u = 24 + 8 4u = 24 + 8 Combine like terms: 24 + 8 = 32 4u = 32 Divide each side by '4'. u = 8 Simplifying u = 8
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