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Simplifying 7n + 1 = 41 + -1n Reorder the terms: 1 + 7n = 41 + -1n Solving 1 + 7n = 41 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 1 + 7n + n = 41 + -1n + n Combine like terms: 7n + n = 8n 1 + 8n = 41 + -1n + n Combine like terms: -1n + n = 0 1 + 8n = 41 + 0 1 + 8n = 41 Add '-1' to each side of the equation. 1 + -1 + 8n = 41 + -1 Combine like terms: 1 + -1 = 0 0 + 8n = 41 + -1 8n = 41 + -1 Combine like terms: 41 + -1 = 40 8n = 40 Divide each side by '8'. n = 5 Simplifying n = 5
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