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Simplifying 8(n + 2) = 2(8 + 42) Reorder the terms: 8(2 + n) = 2(8 + 42) (2 * 8 + n * 8) = 2(8 + 42) (16 + 8n) = 2(8 + 42) Combine like terms: 8 + 42 = 50 16 + 8n = 2(50) Multiply 2 * 50 16 + 8n = 100 Solving 16 + 8n = 100 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 8n = 100 + -16 Combine like terms: 16 + -16 = 0 0 + 8n = 100 + -16 8n = 100 + -16 Combine like terms: 100 + -16 = 84 8n = 84 Divide each side by '8'. n = 10.5 Simplifying n = 10.5
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