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Simplifying 4n + -5n + 8 = -8n + 1 Reorder the terms: 8 + 4n + -5n = -8n + 1 Combine like terms: 4n + -5n = -1n 8 + -1n = -8n + 1 Reorder the terms: 8 + -1n = 1 + -8n Solving 8 + -1n = 1 + -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. 8 + -1n + 8n = 1 + -8n + 8n Combine like terms: -1n + 8n = 7n 8 + 7n = 1 + -8n + 8n Combine like terms: -8n + 8n = 0 8 + 7n = 1 + 0 8 + 7n = 1 Add '-8' to each side of the equation. 8 + -8 + 7n = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 7n = 1 + -8 7n = 1 + -8 Combine like terms: 1 + -8 = -7 7n = -7 Divide each side by '7'. n = -1 Simplifying n = -1
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