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Simplifying 4 + 16n + -2 = 8n + 35 + -3n Reorder the terms: 4 + -2 + 16n = 8n + 35 + -3n Combine like terms: 4 + -2 = 2 2 + 16n = 8n + 35 + -3n Reorder the terms: 2 + 16n = 35 + 8n + -3n Combine like terms: 8n + -3n = 5n 2 + 16n = 35 + 5n Solving 2 + 16n = 35 + 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. 2 + 16n + -5n = 35 + 5n + -5n Combine like terms: 16n + -5n = 11n 2 + 11n = 35 + 5n + -5n Combine like terms: 5n + -5n = 0 2 + 11n = 35 + 0 2 + 11n = 35 Add '-2' to each side of the equation. 2 + -2 + 11n = 35 + -2 Combine like terms: 2 + -2 = 0 0 + 11n = 35 + -2 11n = 35 + -2 Combine like terms: 35 + -2 = 33 11n = 33 Divide each side by '11'. n = 3 Simplifying n = 3
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