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Simplifying 2(4n + 8) + -6n = 12 Reorder the terms: 2(8 + 4n) + -6n = 12 (8 * 2 + 4n * 2) + -6n = 12 (16 + 8n) + -6n = 12 Combine like terms: 8n + -6n = 2n 16 + 2n = 12 Solving 16 + 2n = 12 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 + 2n = 12 + -16 Combine like terms: 16 + -16 = 0 0 + 2n = 12 + -16 2n = 12 + -16 Combine like terms: 12 + -16 = -4 2n = -4 Divide each side by '2'. n = -2 Simplifying n = -2
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