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Simplifying 3(1 + -3n) = 7(1 + -2n) + -4 (1 * 3 + -3n * 3) = 7(1 + -2n) + -4 (3 + -9n) = 7(1 + -2n) + -4 3 + -9n = (1 * 7 + -2n * 7) + -4 3 + -9n = (7 + -14n) + -4 Reorder the terms: 3 + -9n = 7 + -4 + -14n Combine like terms: 7 + -4 = 3 3 + -9n = 3 + -14n Add '-3' to each side of the equation. 3 + -3 + -9n = 3 + -3 + -14n Combine like terms: 3 + -3 = 0 0 + -9n = 3 + -3 + -14n -9n = 3 + -3 + -14n Combine like terms: 3 + -3 = 0 -9n = 0 + -14n -9n = -14n Solving -9n = -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. -9n + 14n = -14n + 14n Combine like terms: -9n + 14n = 5n 5n = -14n + 14n Combine like terms: -14n + 14n = 0 5n = 0 Divide each side by '5'. n = 0 Simplifying n = 0
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