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Simplifying -3n + 36 = 3(n + 8) + -8n Reorder the terms: 36 + -3n = 3(n + 8) + -8n Reorder the terms: 36 + -3n = 3(8 + n) + -8n 36 + -3n = (8 * 3 + n * 3) + -8n 36 + -3n = (24 + 3n) + -8n Combine like terms: 3n + -8n = -5n 36 + -3n = 24 + -5n Solving 36 + -3n = 24 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 36 + -3n + 5n = 24 + -5n + 5n Combine like terms: -3n + 5n = 2n 36 + 2n = 24 + -5n + 5n Combine like terms: -5n + 5n = 0 36 + 2n = 24 + 0 36 + 2n = 24 Add '-36' to each side of the equation. 36 + -36 + 2n = 24 + -36 Combine like terms: 36 + -36 = 0 0 + 2n = 24 + -36 2n = 24 + -36 Combine like terms: 24 + -36 = -12 2n = -12 Divide each side by '2'. n = -6 Simplifying n = -6
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