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Simplifying 2n + -4n + -9 = 1 + -8n + 8n Reorder the terms: -9 + 2n + -4n = 1 + -8n + 8n Combine like terms: 2n + -4n = -2n -9 + -2n = 1 + -8n + 8n Combine like terms: -8n + 8n = 0 -9 + -2n = 1 + 0 -9 + -2n = 1 Solving -9 + -2n = 1 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2n = 1 + 9 Combine like terms: -9 + 9 = 0 0 + -2n = 1 + 9 -2n = 1 + 9 Combine like terms: 1 + 9 = 10 -2n = 10 Divide each side by '-2'. n = -5 Simplifying n = -5
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