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Simplifying 5 + 2n = 7 + -4n Solving 5 + 2n = 7 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 5 + 2n + 4n = 7 + -4n + 4n Combine like terms: 2n + 4n = 6n 5 + 6n = 7 + -4n + 4n Combine like terms: -4n + 4n = 0 5 + 6n = 7 + 0 5 + 6n = 7 Add '-5' to each side of the equation. 5 + -5 + 6n = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 6n = 7 + -5 6n = 7 + -5 Combine like terms: 7 + -5 = 2 6n = 2 Divide each side by '6'. n = 0.3333333333 Simplifying n = 0.3333333333
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