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Simplifying 3n + -40 = 0.5n + 17 Reorder the terms: -40 + 3n = 0.5n + 17 Reorder the terms: -40 + 3n = 17 + 0.5n Solving -40 + 3n = 17 + 0.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.5n' to each side of the equation. -40 + 3n + -0.5n = 17 + 0.5n + -0.5n Combine like terms: 3n + -0.5n = 2.5n -40 + 2.5n = 17 + 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 -40 + 2.5n = 17 + 0.0 -40 + 2.5n = 17 Add '40' to each side of the equation. -40 + 40 + 2.5n = 17 + 40 Combine like terms: -40 + 40 = 0 0 + 2.5n = 17 + 40 2.5n = 17 + 40 Combine like terms: 17 + 40 = 57 2.5n = 57 Divide each side by '2.5'. n = 22.8 Simplifying n = 22.8
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