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Simplifying n + 4 + -9 + -5n = 12 Reorder the terms: 4 + -9 + n + -5n = 12 Combine like terms: 4 + -9 = -5 -5 + n + -5n = 12 Combine like terms: n + -5n = -4n -5 + -4n = 12 Solving -5 + -4n = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4n = 12 + 5 Combine like terms: -5 + 5 = 0 0 + -4n = 12 + 5 -4n = 12 + 5 Combine like terms: 12 + 5 = 17 -4n = 17 Divide each side by '-4'. n = -4.25 Simplifying n = -4.25
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