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Simplifying 5n + 2 = 3n + 40 Reorder the terms: 2 + 5n = 3n + 40 Reorder the terms: 2 + 5n = 40 + 3n Solving 2 + 5n = 40 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 2 + 5n + -3n = 40 + 3n + -3n Combine like terms: 5n + -3n = 2n 2 + 2n = 40 + 3n + -3n Combine like terms: 3n + -3n = 0 2 + 2n = 40 + 0 2 + 2n = 40 Add '-2' to each side of the equation. 2 + -2 + 2n = 40 + -2 Combine like terms: 2 + -2 = 0 0 + 2n = 40 + -2 2n = 40 + -2 Combine like terms: 40 + -2 = 38 2n = 38 Divide each side by '2'. n = 19 Simplifying n = 19
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