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Simplifying 5n + 24 = 2n + 10 Reorder the terms: 24 + 5n = 2n + 10 Reorder the terms: 24 + 5n = 10 + 2n Solving 24 + 5n = 10 + 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 + 5n + -2n = 10 + 2n + -2n Combine like terms: 5n + -2n = 3n 24 + 3n = 10 + 2n + -2n Combine like terms: 2n + -2n = 0 24 + 3n = 10 + 0 24 + 3n = 10 Add '-24' to each side of the equation. 24 + -24 + 3n = 10 + -24 Combine like terms: 24 + -24 = 0 0 + 3n = 10 + -24 3n = 10 + -24 Combine like terms: 10 + -24 = -14 3n = -14 Divide each side by '3'. n = -4.666666667 Simplifying n = -4.666666667
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