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Simplifying 3 + 8n + -2 = 8n + 19 + -2n Reorder the terms: 3 + -2 + 8n = 8n + 19 + -2n Combine like terms: 3 + -2 = 1 1 + 8n = 8n + 19 + -2n Reorder the terms: 1 + 8n = 19 + 8n + -2n Combine like terms: 8n + -2n = 6n 1 + 8n = 19 + 6n Solving 1 + 8n = 19 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 1 + 8n + -6n = 19 + 6n + -6n Combine like terms: 8n + -6n = 2n 1 + 2n = 19 + 6n + -6n Combine like terms: 6n + -6n = 0 1 + 2n = 19 + 0 1 + 2n = 19 Add '-1' to each side of the equation. 1 + -1 + 2n = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 2n = 19 + -1 2n = 19 + -1 Combine like terms: 19 + -1 = 18 2n = 18 Divide each side by '2'. n = 9 Simplifying n = 9
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