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Simplifying 3n + 16 = 2n + 24 Reorder the terms: 16 + 3n = 2n + 24 Reorder the terms: 16 + 3n = 24 + 2n Solving 16 + 3n = 24 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 16 + 3n + -2n = 24 + 2n + -2n Combine like terms: 3n + -2n = 1n 16 + 1n = 24 + 2n + -2n Combine like terms: 2n + -2n = 0 16 + 1n = 24 + 0 16 + 1n = 24 Add '-16' to each side of the equation. 16 + -16 + 1n = 24 + -16 Combine like terms: 16 + -16 = 0 0 + 1n = 24 + -16 1n = 24 + -16 Combine like terms: 24 + -16 = 8 1n = 8 Divide each side by '1'. n = 8 Simplifying n = 8
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