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Simplifying 117 = 6(1 + 6n) + 3 117 = (1 * 6 + 6n * 6) + 3 117 = (6 + 36n) + 3 Reorder the terms: 117 = 6 + 3 + 36n Combine like terms: 6 + 3 = 9 117 = 9 + 36n Solving 117 = 9 + 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. 117 + -36n = 9 + 36n + -36n Combine like terms: 36n + -36n = 0 117 + -36n = 9 + 0 117 + -36n = 9 Add '-117' to each side of the equation. 117 + -117 + -36n = 9 + -117 Combine like terms: 117 + -117 = 0 0 + -36n = 9 + -117 -36n = 9 + -117 Combine like terms: 9 + -117 = -108 -36n = -108 Divide each side by '-36'. n = 3 Simplifying n = 3
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