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Simplifying 3(8 + -3n) = 5(2 + n) (8 * 3 + -3n * 3) = 5(2 + n) (24 + -9n) = 5(2 + n) 24 + -9n = (2 * 5 + n * 5) 24 + -9n = (10 + 5n) Solving 24 + -9n = 10 + 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. 24 + -9n + -5n = 10 + 5n + -5n Combine like terms: -9n + -5n = -14n 24 + -14n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 24 + -14n = 10 + 0 24 + -14n = 10 Add '-24' to each side of the equation. 24 + -24 + -14n = 10 + -24 Combine like terms: 24 + -24 = 0 0 + -14n = 10 + -24 -14n = 10 + -24 Combine like terms: 10 + -24 = -14 -14n = -14 Divide each side by '-14'. n = 1 Simplifying n = 1
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