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Simplifying 6n + 3(6 + 5n) = 186 6n + (6 * 3 + 5n * 3) = 186 6n + (18 + 15n) = 186 Reorder the terms: 18 + 6n + 15n = 186 Combine like terms: 6n + 15n = 21n 18 + 21n = 186 Solving 18 + 21n = 186 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 21n = 186 + -18 Combine like terms: 18 + -18 = 0 0 + 21n = 186 + -18 21n = 186 + -18 Combine like terms: 186 + -18 = 168 21n = 168 Divide each side by '21'. n = 8 Simplifying n = 8
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