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Simplifying 9 + 19n + -8 = 8n + 86 + -6n Reorder the terms: 9 + -8 + 19n = 8n + 86 + -6n Combine like terms: 9 + -8 = 1 1 + 19n = 8n + 86 + -6n Reorder the terms: 1 + 19n = 86 + 8n + -6n Combine like terms: 8n + -6n = 2n 1 + 19n = 86 + 2n Solving 1 + 19n = 86 + 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. 1 + 19n + -2n = 86 + 2n + -2n Combine like terms: 19n + -2n = 17n 1 + 17n = 86 + 2n + -2n Combine like terms: 2n + -2n = 0 1 + 17n = 86 + 0 1 + 17n = 86 Add '-1' to each side of the equation. 1 + -1 + 17n = 86 + -1 Combine like terms: 1 + -1 = 0 0 + 17n = 86 + -1 17n = 86 + -1 Combine like terms: 86 + -1 = 85 17n = 85 Divide each side by '17'. n = 5 Simplifying n = 5
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