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Simplifying 36 = 4(u + 4) + -8u Reorder the terms: 36 = 4(4 + u) + -8u 36 = (4 * 4 + u * 4) + -8u 36 = (16 + 4u) + -8u Combine like terms: 4u + -8u = -4u 36 = 16 + -4u Solving 36 = 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. 36 + 4u = 16 + -4u + 4u Combine like terms: -4u + 4u = 0 36 + 4u = 16 + 0 36 + 4u = 16 Add '-36' to each side of the equation. 36 + -36 + 4u = 16 + -36 Combine like terms: 36 + -36 = 0 0 + 4u = 16 + -36 4u = 16 + -36 Combine like terms: 16 + -36 = -20 4u = -20 Divide each side by '4'. u = -5 Simplifying u = -5
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