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Simplifying 4(2n + 3) + -6 = 46 Reorder the terms: 4(3 + 2n) + -6 = 46 (3 * 4 + 2n * 4) + -6 = 46 (12 + 8n) + -6 = 46 Reorder the terms: 12 + -6 + 8n = 46 Combine like terms: 12 + -6 = 6 6 + 8n = 46 Solving 6 + 8n = 46 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 8n = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 8n = 46 + -6 8n = 46 + -6 Combine like terms: 46 + -6 = 40 8n = 40 Divide each side by '8'. n = 5 Simplifying n = 5
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