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Simplifying 8(u + 4) = 4u + 28 Reorder the terms: 8(4 + u) = 4u + 28 (4 * 8 + u * 8) = 4u + 28 (32 + 8u) = 4u + 28 Reorder the terms: 32 + 8u = 28 + 4u Solving 32 + 8u = 28 + 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. 32 + 8u + -4u = 28 + 4u + -4u Combine like terms: 8u + -4u = 4u 32 + 4u = 28 + 4u + -4u Combine like terms: 4u + -4u = 0 32 + 4u = 28 + 0 32 + 4u = 28 Add '-32' to each side of the equation. 32 + -32 + 4u = 28 + -32 Combine like terms: 32 + -32 = 0 0 + 4u = 28 + -32 4u = 28 + -32 Combine like terms: 28 + -32 = -4 4u = -4 Divide each side by '4'. u = -1 Simplifying u = -1
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