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Simplifying 2(u + 6) = 7u + -18 Reorder the terms: 2(6 + u) = 7u + -18 (6 * 2 + u * 2) = 7u + -18 (12 + 2u) = 7u + -18 Reorder the terms: 12 + 2u = -18 + 7u Solving 12 + 2u = -18 + 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. 12 + 2u + -7u = -18 + 7u + -7u Combine like terms: 2u + -7u = -5u 12 + -5u = -18 + 7u + -7u Combine like terms: 7u + -7u = 0 12 + -5u = -18 + 0 12 + -5u = -18 Add '-12' to each side of the equation. 12 + -12 + -5u = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -5u = -18 + -12 -5u = -18 + -12 Combine like terms: -18 + -12 = -30 -5u = -30 Divide each side by '-5'. u = 6 Simplifying u = 6
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