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Simplifying 4n + 7(1 + 4n) = 7(1 + 3n) + 3n 4n + (1 * 7 + 4n * 7) = 7(1 + 3n) + 3n 4n + (7 + 28n) = 7(1 + 3n) + 3n Reorder the terms: 7 + 4n + 28n = 7(1 + 3n) + 3n Combine like terms: 4n + 28n = 32n 7 + 32n = 7(1 + 3n) + 3n 7 + 32n = (1 * 7 + 3n * 7) + 3n 7 + 32n = (7 + 21n) + 3n Combine like terms: 21n + 3n = 24n 7 + 32n = 7 + 24n Add '-7' to each side of the equation. 7 + -7 + 32n = 7 + -7 + 24n Combine like terms: 7 + -7 = 0 0 + 32n = 7 + -7 + 24n 32n = 7 + -7 + 24n Combine like terms: 7 + -7 = 0 32n = 0 + 24n 32n = 24n Solving 32n = 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 32n + -24n = 24n + -24n Combine like terms: 32n + -24n = 8n 8n = 24n + -24n Combine like terms: 24n + -24n = 0 8n = 0 Divide each side by '8'. n = 0 Simplifying n = 0
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