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Simplifying 4n + 24 = 2n + 42 Reorder the terms: 24 + 4n = 2n + 42 Reorder the terms: 24 + 4n = 42 + 2n Solving 24 + 4n = 42 + 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. 24 + 4n + -2n = 42 + 2n + -2n Combine like terms: 4n + -2n = 2n 24 + 2n = 42 + 2n + -2n Combine like terms: 2n + -2n = 0 24 + 2n = 42 + 0 24 + 2n = 42 Add '-24' to each side of the equation. 24 + -24 + 2n = 42 + -24 Combine like terms: 24 + -24 = 0 0 + 2n = 42 + -24 2n = 42 + -24 Combine like terms: 42 + -24 = 18 2n = 18 Divide each side by '2'. n = 9 Simplifying n = 9
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