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Simplifying 14n + 6 = 2(5 + 3n) + -4 Reorder the terms: 6 + 14n = 2(5 + 3n) + -4 6 + 14n = (5 * 2 + 3n * 2) + -4 6 + 14n = (10 + 6n) + -4 Reorder the terms: 6 + 14n = 10 + -4 + 6n Combine like terms: 10 + -4 = 6 6 + 14n = 6 + 6n Add '-6' to each side of the equation. 6 + -6 + 14n = 6 + -6 + 6n Combine like terms: 6 + -6 = 0 0 + 14n = 6 + -6 + 6n 14n = 6 + -6 + 6n Combine like terms: 6 + -6 = 0 14n = 0 + 6n 14n = 6n Solving 14n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 14n + -6n = 6n + -6n Combine like terms: 14n + -6n = 8n 8n = 6n + -6n Combine like terms: 6n + -6n = 0 8n = 0 Divide each side by '8'. n = 0 Simplifying n = 0
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