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Simplifying 117 = 6(1 + 6n) + n 117 = (1 * 6 + 6n * 6) + n 117 = (6 + 36n) + n Combine like terms: 36n + n = 37n 117 = 6 + 37n Solving 117 = 6 + 37n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-37n' to each side of the equation. 117 + -37n = 6 + 37n + -37n Combine like terms: 37n + -37n = 0 117 + -37n = 6 + 0 117 + -37n = 6 Add '-117' to each side of the equation. 117 + -117 + -37n = 6 + -117 Combine like terms: 117 + -117 = 0 0 + -37n = 6 + -117 -37n = 6 + -117 Combine like terms: 6 + -117 = -111 -37n = -111 Divide each side by '-37'. n = 3 Simplifying n = 3
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