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Simplifying 6 + 16n + -5 = 8n + 61 + -4n Reorder the terms: 6 + -5 + 16n = 8n + 61 + -4n Combine like terms: 6 + -5 = 1 1 + 16n = 8n + 61 + -4n Reorder the terms: 1 + 16n = 61 + 8n + -4n Combine like terms: 8n + -4n = 4n 1 + 16n = 61 + 4n Solving 1 + 16n = 61 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 1 + 16n + -4n = 61 + 4n + -4n Combine like terms: 16n + -4n = 12n 1 + 12n = 61 + 4n + -4n Combine like terms: 4n + -4n = 0 1 + 12n = 61 + 0 1 + 12n = 61 Add '-1' to each side of the equation. 1 + -1 + 12n = 61 + -1 Combine like terms: 1 + -1 = 0 0 + 12n = 61 + -1 12n = 61 + -1 Combine like terms: 61 + -1 = 60 12n = 60 Divide each side by '12'. n = 5 Simplifying n = 5
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