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Simplifying 8(u + 3) = 6u + 22 Reorder the terms: 8(3 + u) = 6u + 22 (3 * 8 + u * 8) = 6u + 22 (24 + 8u) = 6u + 22 Reorder the terms: 24 + 8u = 22 + 6u Solving 24 + 8u = 22 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 24 + 8u + -6u = 22 + 6u + -6u Combine like terms: 8u + -6u = 2u 24 + 2u = 22 + 6u + -6u Combine like terms: 6u + -6u = 0 24 + 2u = 22 + 0 24 + 2u = 22 Add '-24' to each side of the equation. 24 + -24 + 2u = 22 + -24 Combine like terms: 24 + -24 = 0 0 + 2u = 22 + -24 2u = 22 + -24 Combine like terms: 22 + -24 = -2 2u = -2 Divide each side by '2'. u = -1 Simplifying u = -1
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