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Simplifying 6n + 20 = 100 + -2n Reorder the terms: 20 + 6n = 100 + -2n Solving 20 + 6n = 100 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 20 + 6n + 2n = 100 + -2n + 2n Combine like terms: 6n + 2n = 8n 20 + 8n = 100 + -2n + 2n Combine like terms: -2n + 2n = 0 20 + 8n = 100 + 0 20 + 8n = 100 Add '-20' to each side of the equation. 20 + -20 + 8n = 100 + -20 Combine like terms: 20 + -20 = 0 0 + 8n = 100 + -20 8n = 100 + -20 Combine like terms: 100 + -20 = 80 8n = 80 Divide each side by '8'. n = 10 Simplifying n = 10
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