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Simplifying 2n + 3(2n + -6) = 14 Reorder the terms: 2n + 3(-6 + 2n) = 14 2n + (-6 * 3 + 2n * 3) = 14 2n + (-18 + 6n) = 14 Reorder the terms: -18 + 2n + 6n = 14 Combine like terms: 2n + 6n = 8n -18 + 8n = 14 Solving -18 + 8n = 14 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 8n = 14 + 18 Combine like terms: -18 + 18 = 0 0 + 8n = 14 + 18 8n = 14 + 18 Combine like terms: 14 + 18 = 32 8n = 32 Divide each side by '8'. n = 4 Simplifying n = 4
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