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Simplifying 8(4 + -1u) + 1u = 8 + 1u (4 * 8 + -1u * 8) + 1u = 8 + 1u (32 + -8u) + 1u = 8 + 1u Combine like terms: -8u + 1u = -7u 32 + -7u = 8 + 1u Solving 32 + -7u = 8 + 1u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. 32 + -7u + -1u = 8 + 1u + -1u Combine like terms: -7u + -1u = -8u 32 + -8u = 8 + 1u + -1u Combine like terms: 1u + -1u = 0 32 + -8u = 8 + 0 32 + -8u = 8 Add '-32' to each side of the equation. 32 + -32 + -8u = 8 + -32 Combine like terms: 32 + -32 = 0 0 + -8u = 8 + -32 -8u = 8 + -32 Combine like terms: 8 + -32 = -24 -8u = -24 Divide each side by '-8'. u = 3 Simplifying u = 3
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