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Simplifying 38 + -7 = -7 + 3(1 + -7n) Combine like terms: 38 + -7 = 31 31 = -7 + 3(1 + -7n) 31 = -7 + (1 * 3 + -7n * 3) 31 = -7 + (3 + -21n) Combine like terms: -7 + 3 = -4 31 = -4 + -21n Solving 31 = -4 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. 31 + 21n = -4 + -21n + 21n Combine like terms: -21n + 21n = 0 31 + 21n = -4 + 0 31 + 21n = -4 Add '-31' to each side of the equation. 31 + -31 + 21n = -4 + -31 Combine like terms: 31 + -31 = 0 0 + 21n = -4 + -31 21n = -4 + -31 Combine like terms: -4 + -31 = -35 21n = -35 Divide each side by '21'. n = -1.666666667 Simplifying n = -1.666666667
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