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Simplifying 8n + -4 + -5n = 12 + -1n Reorder the terms: -4 + 8n + -5n = 12 + -1n Combine like terms: 8n + -5n = 3n -4 + 3n = 12 + -1n Solving -4 + 3n = 12 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -4 + 3n + n = 12 + -1n + n Combine like terms: 3n + n = 4n -4 + 4n = 12 + -1n + n Combine like terms: -1n + n = 0 -4 + 4n = 12 + 0 -4 + 4n = 12 Add '4' to each side of the equation. -4 + 4 + 4n = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 4n = 12 + 4 4n = 12 + 4 Combine like terms: 12 + 4 = 16 4n = 16 Divide each side by '4'. n = 4 Simplifying n = 4
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