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Simplifying 186 = 6(1 + 6n) 186 = (1 * 6 + 6n * 6) 186 = (6 + 36n) Solving 186 = 6 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 186 + -36n = 6 + 36n + -36n Combine like terms: 36n + -36n = 0 186 + -36n = 6 + 0 186 + -36n = 6 Add '-186' to each side of the equation. 186 + -186 + -36n = 6 + -186 Combine like terms: 186 + -186 = 0 0 + -36n = 6 + -186 -36n = 6 + -186 Combine like terms: 6 + -186 = -180 -36n = -180 Divide each side by '-36'. n = 5 Simplifying n = 5
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