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Simplifying 6xn = 3x(24 + n) 6nx = (24 * 3x + n * 3x) Reorder the terms: 6nx = (3nx + 72x) 6nx = (3nx + 72x) Solving 6nx = 3nx + 72x 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. 6nx + -3nx = 3nx + -3nx + 72x Combine like terms: 6nx + -3nx = 3nx 3nx = 3nx + -3nx + 72x Combine like terms: 3nx + -3nx = 0 3nx = 0 + 72x 3nx = 72x Divide each side by '3x'. n = 24 Simplifying n = 24
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