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Simplifying -4n + -2 = 3 + -8n + 5n Reorder the terms: -2 + -4n = 3 + -8n + 5n Combine like terms: -8n + 5n = -3n -2 + -4n = 3 + -3n Solving -2 + -4n = 3 + -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. -2 + -4n + 3n = 3 + -3n + 3n Combine like terms: -4n + 3n = -1n -2 + -1n = 3 + -3n + 3n Combine like terms: -3n + 3n = 0 -2 + -1n = 3 + 0 -2 + -1n = 3 Add '2' to each side of the equation. -2 + 2 + -1n = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -1n = 3 + 2 -1n = 3 + 2 Combine like terms: 3 + 2 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5
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