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Simplifying 8n + 6(2 + -4n) = 39 + -7n 8n + (2 * 6 + -4n * 6) = 39 + -7n 8n + (12 + -24n) = 39 + -7n Reorder the terms: 12 + 8n + -24n = 39 + -7n Combine like terms: 8n + -24n = -16n 12 + -16n = 39 + -7n Solving 12 + -16n = 39 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 12 + -16n + 7n = 39 + -7n + 7n Combine like terms: -16n + 7n = -9n 12 + -9n = 39 + -7n + 7n Combine like terms: -7n + 7n = 0 12 + -9n = 39 + 0 12 + -9n = 39 Add '-12' to each side of the equation. 12 + -12 + -9n = 39 + -12 Combine like terms: 12 + -12 = 0 0 + -9n = 39 + -12 -9n = 39 + -12 Combine like terms: 39 + -12 = 27 -9n = 27 Divide each side by '-9'. n = -3 Simplifying n = -3
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