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Simplifying 4n + -12 + 2n = 2(2 + -1n) Reorder the terms: -12 + 4n + 2n = 2(2 + -1n) Combine like terms: 4n + 2n = 6n -12 + 6n = 2(2 + -1n) -12 + 6n = (2 * 2 + -1n * 2) -12 + 6n = (4 + -2n) Solving -12 + 6n = 4 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -12 + 6n + 2n = 4 + -2n + 2n Combine like terms: 6n + 2n = 8n -12 + 8n = 4 + -2n + 2n Combine like terms: -2n + 2n = 0 -12 + 8n = 4 + 0 -12 + 8n = 4 Add '12' to each side of the equation. -12 + 12 + 8n = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 8n = 4 + 12 8n = 4 + 12 Combine like terms: 4 + 12 = 16 8n = 16 Divide each side by '8'. n = 2 Simplifying n = 2
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