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Simplifying 12.50n + 35 = 15.00n + 22.50 Reorder the terms: 35 + 12.50n = 15.00n + 22.50 Reorder the terms: 35 + 12.50n = 22.50 + 15.00n Solving 35 + 12.50n = 22.50 + 15.00n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15.00n' to each side of the equation. 35 + 12.50n + -15.00n = 22.50 + 15.00n + -15.00n Combine like terms: 12.50n + -15.00n = -2.5n 35 + -2.5n = 22.50 + 15.00n + -15.00n Combine like terms: 15.00n + -15.00n = 0.00 35 + -2.5n = 22.50 + 0.00 35 + -2.5n = 22.50 Add '-35' to each side of the equation. 35 + -35 + -2.5n = 22.50 + -35 Combine like terms: 35 + -35 = 0 0 + -2.5n = 22.50 + -35 -2.5n = 22.50 + -35 Combine like terms: 22.50 + -35 = -12.5 -2.5n = -12.5 Divide each side by '-2.5'. n = 5 Simplifying n = 5
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