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Simplifying -102 = 6(1 + 6n) -102 = (1 * 6 + 6n * 6) -102 = (6 + 36n) Solving -102 = 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. -102 + -36n = 6 + 36n + -36n Combine like terms: 36n + -36n = 0 -102 + -36n = 6 + 0 -102 + -36n = 6 Add '102' to each side of the equation. -102 + 102 + -36n = 6 + 102 Combine like terms: -102 + 102 = 0 0 + -36n = 6 + 102 -36n = 6 + 102 Combine like terms: 6 + 102 = 108 -36n = 108 Divide each side by '-36'. n = -3 Simplifying n = -3
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