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Simplifying 39 = 3n + -6(1 + 8n) 39 = 3n + (1 * -6 + 8n * -6) 39 = 3n + (-6 + -48n) Reorder the terms: 39 = -6 + 3n + -48n Combine like terms: 3n + -48n = -45n 39 = -6 + -45n Solving 39 = -6 + -45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '45n' to each side of the equation. 39 + 45n = -6 + -45n + 45n Combine like terms: -45n + 45n = 0 39 + 45n = -6 + 0 39 + 45n = -6 Add '-39' to each side of the equation. 39 + -39 + 45n = -6 + -39 Combine like terms: 39 + -39 = 0 0 + 45n = -6 + -39 45n = -6 + -39 Combine like terms: -6 + -39 = -45 45n = -45 Divide each side by '45'. n = -1 Simplifying n = -1
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