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Simplifying 3n + 75 = 2n + 50 Reorder the terms: 75 + 3n = 2n + 50 Reorder the terms: 75 + 3n = 50 + 2n Solving 75 + 3n = 50 + 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. 75 + 3n + -2n = 50 + 2n + -2n Combine like terms: 3n + -2n = 1n 75 + 1n = 50 + 2n + -2n Combine like terms: 2n + -2n = 0 75 + 1n = 50 + 0 75 + 1n = 50 Add '-75' to each side of the equation. 75 + -75 + 1n = 50 + -75 Combine like terms: 75 + -75 = 0 0 + 1n = 50 + -75 1n = 50 + -75 Combine like terms: 50 + -75 = -25 1n = -25 Divide each side by '1'. n = -25 Simplifying n = -25
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