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Simplifying -9 + -8n = 5n + -2(4n + 2) Reorder the terms: -9 + -8n = 5n + -2(2 + 4n) -9 + -8n = 5n + (2 * -2 + 4n * -2) -9 + -8n = 5n + (-4 + -8n) Reorder the terms: -9 + -8n = -4 + 5n + -8n Combine like terms: 5n + -8n = -3n -9 + -8n = -4 + -3n Solving -9 + -8n = -4 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -9 + -8n + 3n = -4 + -3n + 3n Combine like terms: -8n + 3n = -5n -9 + -5n = -4 + -3n + 3n Combine like terms: -3n + 3n = 0 -9 + -5n = -4 + 0 -9 + -5n = -4 Add '9' to each side of the equation. -9 + 9 + -5n = -4 + 9 Combine like terms: -9 + 9 = 0 0 + -5n = -4 + 9 -5n = -4 + 9 Combine like terms: -4 + 9 = 5 -5n = 5 Divide each side by '-5'. n = -1 Simplifying n = -1
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