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Simplifying 12[3n + -7] + 8n = -2[4 + -3n] Reorder the terms: 12[-7 + 3n] + 8n = -2[4 + -3n] [-7 * 12 + 3n * 12] + 8n = -2[4 + -3n] [-84 + 36n] + 8n = -2[4 + -3n] Combine like terms: 36n + 8n = 44n -84 + 44n = -2[4 + -3n] -84 + 44n = [4 * -2 + -3n * -2] -84 + 44n = [-8 + 6n] Solving -84 + 44n = -8 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -84 + 44n + -6n = -8 + 6n + -6n Combine like terms: 44n + -6n = 38n -84 + 38n = -8 + 6n + -6n Combine like terms: 6n + -6n = 0 -84 + 38n = -8 + 0 -84 + 38n = -8 Add '84' to each side of the equation. -84 + 84 + 38n = -8 + 84 Combine like terms: -84 + 84 = 0 0 + 38n = -8 + 84 38n = -8 + 84 Combine like terms: -8 + 84 = 76 38n = 76 Divide each side by '38'. n = 2 Simplifying n = 2
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