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Simplifying 4n + -5 = -2n + 13 Reorder the terms: -5 + 4n = -2n + 13 Reorder the terms: -5 + 4n = 13 + -2n Solving -5 + 4n = 13 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -5 + 4n + 2n = 13 + -2n + 2n Combine like terms: 4n + 2n = 6n -5 + 6n = 13 + -2n + 2n Combine like terms: -2n + 2n = 0 -5 + 6n = 13 + 0 -5 + 6n = 13 Add '5' to each side of the equation. -5 + 5 + 6n = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 6n = 13 + 5 6n = 13 + 5 Combine like terms: 13 + 5 = 18 6n = 18 Divide each side by '6'. n = 3 Simplifying n = 3
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