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Simplifying 8n + 1 = 2n + 49 Reorder the terms: 1 + 8n = 2n + 49 Reorder the terms: 1 + 8n = 49 + 2n Solving 1 + 8n = 49 + 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. 1 + 8n + -2n = 49 + 2n + -2n Combine like terms: 8n + -2n = 6n 1 + 6n = 49 + 2n + -2n Combine like terms: 2n + -2n = 0 1 + 6n = 49 + 0 1 + 6n = 49 Add '-1' to each side of the equation. 1 + -1 + 6n = 49 + -1 Combine like terms: 1 + -1 = 0 0 + 6n = 49 + -1 6n = 49 + -1 Combine like terms: 49 + -1 = 48 6n = 48 Divide each side by '6'. n = 8 Simplifying n = 8
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