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Simplifying 4(3n + 2) = 7 + -14n Reorder the terms: 4(2 + 3n) = 7 + -14n (2 * 4 + 3n * 4) = 7 + -14n (8 + 12n) = 7 + -14n Solving 8 + 12n = 7 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 8 + 12n + 14n = 7 + -14n + 14n Combine like terms: 12n + 14n = 26n 8 + 26n = 7 + -14n + 14n Combine like terms: -14n + 14n = 0 8 + 26n = 7 + 0 8 + 26n = 7 Add '-8' to each side of the equation. 8 + -8 + 26n = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 26n = 7 + -8 26n = 7 + -8 Combine like terms: 7 + -8 = -1 26n = -1 Divide each side by '26'. n = -0.03846153846 Simplifying n = -0.03846153846
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