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Simplifying 7(2u + 1) = 6u + 71 Reorder the terms: 7(1 + 2u) = 6u + 71 (1 * 7 + 2u * 7) = 6u + 71 (7 + 14u) = 6u + 71 Reorder the terms: 7 + 14u = 71 + 6u Solving 7 + 14u = 71 + 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. 7 + 14u + -6u = 71 + 6u + -6u Combine like terms: 14u + -6u = 8u 7 + 8u = 71 + 6u + -6u Combine like terms: 6u + -6u = 0 7 + 8u = 71 + 0 7 + 8u = 71 Add '-7' to each side of the equation. 7 + -7 + 8u = 71 + -7 Combine like terms: 7 + -7 = 0 0 + 8u = 71 + -7 8u = 71 + -7 Combine like terms: 71 + -7 = 64 8u = 64 Divide each side by '8'. u = 8 Simplifying u = 8
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