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Simplifying 6 + 18n + -5 = 8n + 121 + -5n Reorder the terms: 6 + -5 + 18n = 8n + 121 + -5n Combine like terms: 6 + -5 = 1 1 + 18n = 8n + 121 + -5n Reorder the terms: 1 + 18n = 121 + 8n + -5n Combine like terms: 8n + -5n = 3n 1 + 18n = 121 + 3n Solving 1 + 18n = 121 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 1 + 18n + -3n = 121 + 3n + -3n Combine like terms: 18n + -3n = 15n 1 + 15n = 121 + 3n + -3n Combine like terms: 3n + -3n = 0 1 + 15n = 121 + 0 1 + 15n = 121 Add '-1' to each side of the equation. 1 + -1 + 15n = 121 + -1 Combine like terms: 1 + -1 = 0 0 + 15n = 121 + -1 15n = 121 + -1 Combine like terms: 121 + -1 = 120 15n = 120 Divide each side by '15'. n = 8 Simplifying n = 8
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