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Simplifying 3n + 8 = 5n + 24 Reorder the terms: 8 + 3n = 5n + 24 Reorder the terms: 8 + 3n = 24 + 5n Solving 8 + 3n = 24 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 8 + 3n + -5n = 24 + 5n + -5n Combine like terms: 3n + -5n = -2n 8 + -2n = 24 + 5n + -5n Combine like terms: 5n + -5n = 0 8 + -2n = 24 + 0 8 + -2n = 24 Add '-8' to each side of the equation. 8 + -8 + -2n = 24 + -8 Combine like terms: 8 + -8 = 0 0 + -2n = 24 + -8 -2n = 24 + -8 Combine like terms: 24 + -8 = 16 -2n = 16 Divide each side by '-2'. n = -8 Simplifying n = -8
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