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Simplifying 32 = 4(u + 7) + -8u Reorder the terms: 32 = 4(7 + u) + -8u 32 = (7 * 4 + u * 4) + -8u 32 = (28 + 4u) + -8u Combine like terms: 4u + -8u = -4u 32 = 28 + -4u Solving 32 = 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 + 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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