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Simplifying -7 + 38 = 9(1 + -4n) Combine like terms: -7 + 38 = 31 31 = 9(1 + -4n) 31 = (1 * 9 + -4n * 9) 31 = (9 + -36n) Solving 31 = 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. 31 + 36n = 9 + -36n + 36n Combine like terms: -36n + 36n = 0 31 + 36n = 9 + 0 31 + 36n = 9 Add '-31' to each side of the equation. 31 + -31 + 36n = 9 + -31 Combine like terms: 31 + -31 = 0 0 + 36n = 9 + -31 36n = 9 + -31 Combine like terms: 9 + -31 = -22 36n = -22 Divide each side by '36'. n = -0.6111111111 Simplifying n = -0.6111111111
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