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Simplifying 3n + 35 = 2n + 45 Reorder the terms: 35 + 3n = 2n + 45 Reorder the terms: 35 + 3n = 45 + 2n Solving 35 + 3n = 45 + 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. 35 + 3n + -2n = 45 + 2n + -2n Combine like terms: 3n + -2n = 1n 35 + 1n = 45 + 2n + -2n Combine like terms: 2n + -2n = 0 35 + 1n = 45 + 0 35 + 1n = 45 Add '-35' to each side of the equation. 35 + -35 + 1n = 45 + -35 Combine like terms: 35 + -35 = 0 0 + 1n = 45 + -35 1n = 45 + -35 Combine like terms: 45 + -35 = 10 1n = 10 Divide each side by '1'. n = 10 Simplifying n = 10
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