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Simplifying 8 + 7n = 7n + 8(1 + -8n) 8 + 7n = 7n + (1 * 8 + -8n * 8) 8 + 7n = 7n + (8 + -64n) Reorder the terms: 8 + 7n = 8 + 7n + -64n Combine like terms: 7n + -64n = -57n 8 + 7n = 8 + -57n Add '-8' to each side of the equation. 8 + -8 + 7n = 8 + -8 + -57n Combine like terms: 8 + -8 = 0 0 + 7n = 8 + -8 + -57n 7n = 8 + -8 + -57n Combine like terms: 8 + -8 = 0 7n = 0 + -57n 7n = -57n Solving 7n = -57n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '57n' to each side of the equation. 7n + 57n = -57n + 57n Combine like terms: 7n + 57n = 64n 64n = -57n + 57n Combine like terms: -57n + 57n = 0 64n = 0 Divide each side by '64'. n = 0 Simplifying n = 0
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