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Simplifying 8n + 11 = 74 + -1n Reorder the terms: 11 + 8n = 74 + -1n Solving 11 + 8n = 74 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 11 + 8n + n = 74 + -1n + n Combine like terms: 8n + n = 9n 11 + 9n = 74 + -1n + n Combine like terms: -1n + n = 0 11 + 9n = 74 + 0 11 + 9n = 74 Add '-11' to each side of the equation. 11 + -11 + 9n = 74 + -11 Combine like terms: 11 + -11 = 0 0 + 9n = 74 + -11 9n = 74 + -11 Combine like terms: 74 + -11 = 63 9n = 63 Divide each side by '9'. n = 7 Simplifying n = 7
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