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Simplifying -5(7n + -3) = 39 + -8n Reorder the terms: -5(-3 + 7n) = 39 + -8n (-3 * -5 + 7n * -5) = 39 + -8n (15 + -35n) = 39 + -8n Solving 15 + -35n = 39 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 15 + -35n + 8n = 39 + -8n + 8n Combine like terms: -35n + 8n = -27n 15 + -27n = 39 + -8n + 8n Combine like terms: -8n + 8n = 0 15 + -27n = 39 + 0 15 + -27n = 39 Add '-15' to each side of the equation. 15 + -15 + -27n = 39 + -15 Combine like terms: 15 + -15 = 0 0 + -27n = 39 + -15 -27n = 39 + -15 Combine like terms: 39 + -15 = 24 -27n = 24 Divide each side by '-27'. n = -0.8888888889 Simplifying n = -0.8888888889
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