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Simplifying 3(5 + -2n) = -8n + 13 (5 * 3 + -2n * 3) = -8n + 13 (15 + -6n) = -8n + 13 Reorder the terms: 15 + -6n = 13 + -8n Solving 15 + -6n = 13 + -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 + -6n + 8n = 13 + -8n + 8n Combine like terms: -6n + 8n = 2n 15 + 2n = 13 + -8n + 8n Combine like terms: -8n + 8n = 0 15 + 2n = 13 + 0 15 + 2n = 13 Add '-15' to each side of the equation. 15 + -15 + 2n = 13 + -15 Combine like terms: 15 + -15 = 0 0 + 2n = 13 + -15 2n = 13 + -15 Combine like terms: 13 + -15 = -2 2n = -2 Divide each side by '2'. n = -1 Simplifying n = -1
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