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Simplifying -27 + 8n = -5n + 6(6n + 7) Reorder the terms: -27 + 8n = -5n + 6(7 + 6n) -27 + 8n = -5n + (7 * 6 + 6n * 6) -27 + 8n = -5n + (42 + 36n) Reorder the terms: -27 + 8n = 42 + -5n + 36n Combine like terms: -5n + 36n = 31n -27 + 8n = 42 + 31n Solving -27 + 8n = 42 + 31n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-31n' to each side of the equation. -27 + 8n + -31n = 42 + 31n + -31n Combine like terms: 8n + -31n = -23n -27 + -23n = 42 + 31n + -31n Combine like terms: 31n + -31n = 0 -27 + -23n = 42 + 0 -27 + -23n = 42 Add '27' to each side of the equation. -27 + 27 + -23n = 42 + 27 Combine like terms: -27 + 27 = 0 0 + -23n = 42 + 27 -23n = 42 + 27 Combine like terms: 42 + 27 = 69 -23n = 69 Divide each side by '-23'. n = -3 Simplifying n = -3
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