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Simplifying 4(2n + 6) = 42 Reorder the terms: 4(6 + 2n) = 42 (6 * 4 + 2n * 4) = 42 (24 + 8n) = 42 Solving 24 + 8n = 42 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 8n = 42 + -24 Combine like terms: 24 + -24 = 0 0 + 8n = 42 + -24 8n = 42 + -24 Combine like terms: 42 + -24 = 18 8n = 18 Divide each side by '8'. n = 2.25 Simplifying n = 2.25
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