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Simplifying 4n + 5 = 35 + -2n Reorder the terms: 5 + 4n = 35 + -2n Solving 5 + 4n = 35 + -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 = 35 + -2n + 2n Combine like terms: 4n + 2n = 6n 5 + 6n = 35 + -2n + 2n Combine like terms: -2n + 2n = 0 5 + 6n = 35 + 0 5 + 6n = 35 Add '-5' to each side of the equation. 5 + -5 + 6n = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 6n = 35 + -5 6n = 35 + -5 Combine like terms: 35 + -5 = 30 6n = 30 Divide each side by '6'. n = 5 Simplifying n = 5
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