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Simplifying 8(n + 8) = 9n + -1 Reorder the terms: 8(8 + n) = 9n + -1 (8 * 8 + n * 8) = 9n + -1 (64 + 8n) = 9n + -1 Reorder the terms: 64 + 8n = -1 + 9n Solving 64 + 8n = -1 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 64 + 8n + -9n = -1 + 9n + -9n Combine like terms: 8n + -9n = -1n 64 + -1n = -1 + 9n + -9n Combine like terms: 9n + -9n = 0 64 + -1n = -1 + 0 64 + -1n = -1 Add '-64' to each side of the equation. 64 + -64 + -1n = -1 + -64 Combine like terms: 64 + -64 = 0 0 + -1n = -1 + -64 -1n = -1 + -64 Combine like terms: -1 + -64 = -65 -1n = -65 Divide each side by '-1'. n = 65 Simplifying n = 65
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