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Simplifying 7 + 5n = 8n + 7(8n + 1) Reorder the terms: 7 + 5n = 8n + 7(1 + 8n) 7 + 5n = 8n + (1 * 7 + 8n * 7) 7 + 5n = 8n + (7 + 56n) Reorder the terms: 7 + 5n = 7 + 8n + 56n Combine like terms: 8n + 56n = 64n 7 + 5n = 7 + 64n Add '-7' to each side of the equation. 7 + -7 + 5n = 7 + -7 + 64n Combine like terms: 7 + -7 = 0 0 + 5n = 7 + -7 + 64n 5n = 7 + -7 + 64n Combine like terms: 7 + -7 = 0 5n = 0 + 64n 5n = 64n Solving 5n = 64n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-64n' to each side of the equation. 5n + -64n = 64n + -64n Combine like terms: 5n + -64n = -59n -59n = 64n + -64n Combine like terms: 64n + -64n = 0 -59n = 0 Divide each side by '-59'. n = 0 Simplifying n = 0
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