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Simplifying 3n + 5 + -3(1 + -7n) = 5 + 7n 3n + 5 + (1 * -3 + -7n * -3) = 5 + 7n 3n + 5 + (-3 + 21n) = 5 + 7n Reorder the terms: 5 + -3 + 3n + 21n = 5 + 7n Combine like terms: 5 + -3 = 2 2 + 3n + 21n = 5 + 7n Combine like terms: 3n + 21n = 24n 2 + 24n = 5 + 7n Solving 2 + 24n = 5 + 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. 2 + 24n + -7n = 5 + 7n + -7n Combine like terms: 24n + -7n = 17n 2 + 17n = 5 + 7n + -7n Combine like terms: 7n + -7n = 0 2 + 17n = 5 + 0 2 + 17n = 5 Add '-2' to each side of the equation. 2 + -2 + 17n = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 17n = 5 + -2 17n = 5 + -2 Combine like terms: 5 + -2 = 3 17n = 3 Divide each side by '17'. n = 0.1764705882 Simplifying n = 0.1764705882
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