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Simplifying 32 = 4u + 4(u + -8) Reorder the terms: 32 = 4u + 4(-8 + u) 32 = 4u + (-8 * 4 + u * 4) 32 = 4u + (-32 + 4u) Reorder the terms: 32 = -32 + 4u + 4u Combine like terms: 4u + 4u = 8u 32 = -32 + 8u Solving 32 = -32 + 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 + -8u = -32 + 8u + -8u Combine like terms: 8u + -8u = 0 32 + -8u = -32 + 0 32 + -8u = -32 Add '-32' to each side of the equation. 32 + -32 + -8u = -32 + -32 Combine like terms: 32 + -32 = 0 0 + -8u = -32 + -32 -8u = -32 + -32 Combine like terms: -32 + -32 = -64 -8u = -64 Divide each side by '-8'. u = 8 Simplifying u = 8
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