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Simplifying 4xn + 2 = 3xn + 5 Reorder the terms: 2 + 4nx = 3xn + 5 Reorder the terms: 2 + 4nx = 5 + 3nx Solving 2 + 4nx = 5 + 3nx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3nx' to each side of the equation. 2 + 4nx + -3nx = 5 + 3nx + -3nx Combine like terms: 4nx + -3nx = 1nx 2 + 1nx = 5 + 3nx + -3nx Combine like terms: 3nx + -3nx = 0 2 + 1nx = 5 + 0 2 + 1nx = 5 Add '-2' to each side of the equation. 2 + -2 + 1nx = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 1nx = 5 + -2 1nx = 5 + -2 Combine like terms: 5 + -2 = 3 1nx = 3 Divide each side by '1x'. n = 3x-1 Simplifying n = 3x-1
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