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