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Simplifying 5n + 7n = 2(2n + 1) + -2 Combine like terms: 5n + 7n = 12n 12n = 2(2n + 1) + -2 Reorder the terms: 12n = 2(1 + 2n) + -2 12n = (1 * 2 + 2n * 2) + -2 12n = (2 + 4n) + -2 Reorder the terms: 12n = 2 + -2 + 4n Combine like terms: 2 + -2 = 0 12n = 0 + 4n 12n = 4n Solving 12n = 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 12n + -4n = 4n + -4n Combine like terms: 12n + -4n = 8n 8n = 4n + -4n Combine like terms: 4n + -4n = 0 8n = 0 Divide each side by '8'. n = 0 Simplifying n = 0
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