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Simplifying 8 = 4(u + 4) + -8u Reorder the terms: 8 = 4(4 + u) + -8u 8 = (4 * 4 + u * 4) + -8u 8 = (16 + 4u) + -8u Combine like terms: 4u + -8u = -4u 8 = 16 + -4u Solving 8 = 16 + -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 = 16 + -4u + 4u Combine like terms: -4u + 4u = 0 8 + 4u = 16 + 0 8 + 4u = 16 Add '-8' to each side of the equation. 8 + -8 + 4u = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 4u = 16 + -8 4u = 16 + -8 Combine like terms: 16 + -8 = 8 4u = 8 Divide each side by '4'. u = 2 Simplifying u = 2
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