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Simplifying 3(1 + 7n) + 2 = 5 + -3n (1 * 3 + 7n * 3) + 2 = 5 + -3n (3 + 21n) + 2 = 5 + -3n Reorder the terms: 3 + 2 + 21n = 5 + -3n Combine like terms: 3 + 2 = 5 5 + 21n = 5 + -3n Add '-5' to each side of the equation. 5 + -5 + 21n = 5 + -5 + -3n Combine like terms: 5 + -5 = 0 0 + 21n = 5 + -5 + -3n 21n = 5 + -5 + -3n Combine like terms: 5 + -5 = 0 21n = 0 + -3n 21n = -3n Solving 21n = -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 21n + 3n = -3n + 3n Combine like terms: 21n + 3n = 24n 24n = -3n + 3n Combine like terms: -3n + 3n = 0 24n = 0 Divide each side by '24'. n = 0 Simplifying n = 0
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