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Simplifying 2n + -4n = 7 + 2n + -2 + -5n Combine like terms: 2n + -4n = -2n -2n = 7 + 2n + -2 + -5n Reorder the terms: -2n = 7 + -2 + 2n + -5n Combine like terms: 7 + -2 = 5 -2n = 5 + 2n + -5n Combine like terms: 2n + -5n = -3n -2n = 5 + -3n Solving -2n = 5 + -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. -2n + 3n = 5 + -3n + 3n Combine like terms: -2n + 3n = 1n 1n = 5 + -3n + 3n Combine like terms: -3n + 3n = 0 1n = 5 + 0 1n = 5 Divide each side by '1'. n = 5 Simplifying n = 5
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