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Simplifying -6n + 1 + -1n = 10 + -8n Reorder the terms: 1 + -6n + -1n = 10 + -8n Combine like terms: -6n + -1n = -7n 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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