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Simplifying 3n + -40 = 1.5n + 35 Reorder the terms: -40 + 3n = 1.5n + 35 Reorder the terms: -40 + 3n = 35 + 1.5n Solving -40 + 3n = 35 + 1.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.5n' to each side of the equation. -40 + 3n + -1.5n = 35 + 1.5n + -1.5n Combine like terms: 3n + -1.5n = 1.5n -40 + 1.5n = 35 + 1.5n + -1.5n Combine like terms: 1.5n + -1.5n = 0.0 -40 + 1.5n = 35 + 0.0 -40 + 1.5n = 35 Add '40' to each side of the equation. -40 + 40 + 1.5n = 35 + 40 Combine like terms: -40 + 40 = 0 0 + 1.5n = 35 + 40 1.5n = 35 + 40 Combine like terms: 35 + 40 = 75 1.5n = 75 Divide each side by '1.5'. n = 50 Simplifying n = 50
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