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Simplifying 9 + 9n + -4 = 8n + 61 + -6n Reorder the terms: 9 + -4 + 9n = 8n + 61 + -6n Combine like terms: 9 + -4 = 5 5 + 9n = 8n + 61 + -6n Reorder the terms: 5 + 9n = 61 + 8n + -6n Combine like terms: 8n + -6n = 2n 5 + 9n = 61 + 2n Solving 5 + 9n = 61 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 5 + 9n + -2n = 61 + 2n + -2n Combine like terms: 9n + -2n = 7n 5 + 7n = 61 + 2n + -2n Combine like terms: 2n + -2n = 0 5 + 7n = 61 + 0 5 + 7n = 61 Add '-5' to each side of the equation. 5 + -5 + 7n = 61 + -5 Combine like terms: 5 + -5 = 0 0 + 7n = 61 + -5 7n = 61 + -5 Combine like terms: 61 + -5 = 56 7n = 56 Divide each side by '7'. n = 8 Simplifying n = 8
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