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Simplifying 5(5n + 2) = 25 + 2n Reorder the terms: 5(2 + 5n) = 25 + 2n (2 * 5 + 5n * 5) = 25 + 2n (10 + 25n) = 25 + 2n Solving 10 + 25n = 25 + 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. 10 + 25n + -2n = 25 + 2n + -2n Combine like terms: 25n + -2n = 23n 10 + 23n = 25 + 2n + -2n Combine like terms: 2n + -2n = 0 10 + 23n = 25 + 0 10 + 23n = 25 Add '-10' to each side of the equation. 10 + -10 + 23n = 25 + -10 Combine like terms: 10 + -10 = 0 0 + 23n = 25 + -10 23n = 25 + -10 Combine like terms: 25 + -10 = 15 23n = 15 Divide each side by '23'. n = 0.652173913 Simplifying n = 0.652173913
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