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Simplifying 2 + -9 + -1n = 3n + 9 Combine like terms: 2 + -9 = -7 -7 + -1n = 3n + 9 Reorder the terms: -7 + -1n = 9 + 3n Solving -7 + -1n = 9 + 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. -7 + -1n + -3n = 9 + 3n + -3n Combine like terms: -1n + -3n = -4n -7 + -4n = 9 + 3n + -3n Combine like terms: 3n + -3n = 0 -7 + -4n = 9 + 0 -7 + -4n = 9 Add '7' to each side of the equation. -7 + 7 + -4n = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -4n = 9 + 7 -4n = 9 + 7 Combine like terms: 9 + 7 = 16 -4n = 16 Divide each side by '-4'. n = -4 Simplifying n = -4
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