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Simplifying 2(5 + n) + 4n = 24 + -1n (5 * 2 + n * 2) + 4n = 24 + -1n (10 + 2n) + 4n = 24 + -1n Combine like terms: 2n + 4n = 6n 10 + 6n = 24 + -1n Solving 10 + 6n = 24 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 10 + 6n + n = 24 + -1n + n Combine like terms: 6n + n = 7n 10 + 7n = 24 + -1n + n Combine like terms: -1n + n = 0 10 + 7n = 24 + 0 10 + 7n = 24 Add '-10' to each side of the equation. 10 + -10 + 7n = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 7n = 24 + -10 7n = 24 + -10 Combine like terms: 24 + -10 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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