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Simplifying 4(u + 8) = 8u + 28 Reorder the terms: 4(8 + u) = 8u + 28 (8 * 4 + u * 4) = 8u + 28 (32 + 4u) = 8u + 28 Reorder the terms: 32 + 4u = 28 + 8u Solving 32 + 4u = 28 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 32 + 4u + -8u = 28 + 8u + -8u Combine like terms: 4u + -8u = -4u 32 + -4u = 28 + 8u + -8u Combine like terms: 8u + -8u = 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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