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Simplifying 4(6 + -1n) + -3(8n + 9) = 12 (6 * 4 + -1n * 4) + -3(8n + 9) = 12 (24 + -4n) + -3(8n + 9) = 12 Reorder the terms: 24 + -4n + -3(9 + 8n) = 12 24 + -4n + (9 * -3 + 8n * -3) = 12 24 + -4n + (-27 + -24n) = 12 Reorder the terms: 24 + -27 + -4n + -24n = 12 Combine like terms: 24 + -27 = -3 -3 + -4n + -24n = 12 Combine like terms: -4n + -24n = -28n -3 + -28n = 12 Solving -3 + -28n = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -28n = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -28n = 12 + 3 -28n = 12 + 3 Combine like terms: 12 + 3 = 15 -28n = 15 Divide each side by '-28'. n = -0.5357142857 Simplifying n = -0.5357142857
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