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Simplifying 6n + 6(5n + 8) = -36 + 8n Reorder the terms: 6n + 6(8 + 5n) = -36 + 8n 6n + (8 * 6 + 5n * 6) = -36 + 8n 6n + (48 + 30n) = -36 + 8n Reorder the terms: 48 + 6n + 30n = -36 + 8n Combine like terms: 6n + 30n = 36n 48 + 36n = -36 + 8n Solving 48 + 36n = -36 + 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. 48 + 36n + -8n = -36 + 8n + -8n Combine like terms: 36n + -8n = 28n 48 + 28n = -36 + 8n + -8n Combine like terms: 8n + -8n = 0 48 + 28n = -36 + 0 48 + 28n = -36 Add '-48' to each side of the equation. 48 + -48 + 28n = -36 + -48 Combine like terms: 48 + -48 = 0 0 + 28n = -36 + -48 28n = -36 + -48 Combine like terms: -36 + -48 = -84 28n = -84 Divide each side by '28'. n = -3 Simplifying n = -3
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