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