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Simplifying 1 + 7n = 8n + 10 Reorder the terms: 1 + 7n = 10 + 8n Solving 1 + 7n = 10 + 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. 1 + 7n + -8n = 10 + 8n + -8n Combine like terms: 7n + -8n = -1n 1 + -1n = 10 + 8n + -8n Combine like terms: 8n + -8n = 0 1 + -1n = 10 + 0 1 + -1n = 10 Add '-1' to each side of the equation. 1 + -1 + -1n = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 10 + -1 -1n = 10 + -1 Combine like terms: 10 + -1 = 9 -1n = 9 Divide each side by '-1'. n = -9 Simplifying n = -9
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