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Simplifying -9 + -8n = 8 + -5n + 7 Reorder the terms: -9 + -8n = 8 + 7 + -5n Combine like terms: 8 + 7 = 15 -9 + -8n = 15 + -5n Solving -9 + -8n = 15 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -9 + -8n + 5n = 15 + -5n + 5n Combine like terms: -8n + 5n = -3n -9 + -3n = 15 + -5n + 5n Combine like terms: -5n + 5n = 0 -9 + -3n = 15 + 0 -9 + -3n = 15 Add '9' to each side of the equation. -9 + 9 + -3n = 15 + 9 Combine like terms: -9 + 9 = 0 0 + -3n = 15 + 9 -3n = 15 + 9 Combine like terms: 15 + 9 = 24 -3n = 24 Divide each side by '-3'. n = -8 Simplifying n = -8
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