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Simplifying 35n + 500 = 37.5n Reorder the terms: 500 + 35n = 37.5n Solving 500 + 35n = 37.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-37.5n' to each side of the equation. 500 + 35n + -37.5n = 37.5n + -37.5n Combine like terms: 35n + -37.5n = -2.5n 500 + -2.5n = 37.5n + -37.5n Combine like terms: 37.5n + -37.5n = 0.0 500 + -2.5n = 0.0 Add '-500' to each side of the equation. 500 + -500 + -2.5n = 0.0 + -500 Combine like terms: 500 + -500 = 0 0 + -2.5n = 0.0 + -500 -2.5n = 0.0 + -500 Combine like terms: 0.0 + -500 = -500 -2.5n = -500 Divide each side by '-2.5'. n = 200 Simplifying n = 200
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