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Simplifying 7n + -5 = 8n + 12 Reorder the terms: -5 + 7n = 8n + 12 Reorder the terms: -5 + 7n = 12 + 8n Solving -5 + 7n = 12 + 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. -5 + 7n + -8n = 12 + 8n + -8n Combine like terms: 7n + -8n = -1n -5 + -1n = 12 + 8n + -8n Combine like terms: 8n + -8n = 0 -5 + -1n = 12 + 0 -5 + -1n = 12 Add '5' to each side of the equation. -5 + 5 + -1n = 12 + 5 Combine like terms: -5 + 5 = 0 0 + -1n = 12 + 5 -1n = 12 + 5 Combine like terms: 12 + 5 = 17 -1n = 17 Divide each side by '-1'. n = -17 Simplifying n = -17
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