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Simplifying 8(n + 8) + -2n = 100 Reorder the terms: 8(8 + n) + -2n = 100 (8 * 8 + n * 8) + -2n = 100 (64 + 8n) + -2n = 100 Combine like terms: 8n + -2n = 6n 64 + 6n = 100 Solving 64 + 6n = 100 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 6n = 100 + -64 Combine like terms: 64 + -64 = 0 0 + 6n = 100 + -64 6n = 100 + -64 Combine like terms: 100 + -64 = 36 6n = 36 Divide each side by '6'. n = 6 Simplifying n = 6
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