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Simplifying -8n + -27 = 5(3 + -3n) Reorder the terms: -27 + -8n = 5(3 + -3n) -27 + -8n = (3 * 5 + -3n * 5) -27 + -8n = (15 + -15n) Solving -27 + -8n = 15 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. -27 + -8n + 15n = 15 + -15n + 15n Combine like terms: -8n + 15n = 7n -27 + 7n = 15 + -15n + 15n Combine like terms: -15n + 15n = 0 -27 + 7n = 15 + 0 -27 + 7n = 15 Add '27' to each side of the equation. -27 + 27 + 7n = 15 + 27 Combine like terms: -27 + 27 = 0 0 + 7n = 15 + 27 7n = 15 + 27 Combine like terms: 15 + 27 = 42 7n = 42 Divide each side by '7'. n = 6 Simplifying n = 6
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