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Simplifying 7 + 8n + -6 = 8n + 19 + -3n Reorder the terms: 7 + -6 + 8n = 8n + 19 + -3n Combine like terms: 7 + -6 = 1 1 + 8n = 8n + 19 + -3n Reorder the terms: 1 + 8n = 19 + 8n + -3n Combine like terms: 8n + -3n = 5n 1 + 8n = 19 + 5n Solving 1 + 8n = 19 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 1 + 8n + -5n = 19 + 5n + -5n Combine like terms: 8n + -5n = 3n 1 + 3n = 19 + 5n + -5n Combine like terms: 5n + -5n = 0 1 + 3n = 19 + 0 1 + 3n = 19 Add '-1' to each side of the equation. 1 + -1 + 3n = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 3n = 19 + -1 3n = 19 + -1 Combine like terms: 19 + -1 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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