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Simplifying 3(1 + -7n) + 8 = 39 + -7n (1 * 3 + -7n * 3) + 8 = 39 + -7n (3 + -21n) + 8 = 39 + -7n Reorder the terms: 3 + 8 + -21n = 39 + -7n Combine like terms: 3 + 8 = 11 11 + -21n = 39 + -7n Solving 11 + -21n = 39 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 11 + -21n + 7n = 39 + -7n + 7n Combine like terms: -21n + 7n = -14n 11 + -14n = 39 + -7n + 7n Combine like terms: -7n + 7n = 0 11 + -14n = 39 + 0 11 + -14n = 39 Add '-11' to each side of the equation. 11 + -11 + -14n = 39 + -11 Combine like terms: 11 + -11 = 0 0 + -14n = 39 + -11 -14n = 39 + -11 Combine like terms: 39 + -11 = 28 -14n = 28 Divide each side by '-14'. n = -2 Simplifying n = -2
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