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Simplifying 23n + -1(2n + 3) = 2(n + 5) + n Reorder the terms: 23n + -1(3 + 2n) = 2(n + 5) + n 23n + (3 * -1 + 2n * -1) = 2(n + 5) + n 23n + (-3 + -2n) = 2(n + 5) + n Reorder the terms: -3 + 23n + -2n = 2(n + 5) + n Combine like terms: 23n + -2n = 21n -3 + 21n = 2(n + 5) + n Reorder the terms: -3 + 21n = 2(5 + n) + n -3 + 21n = (5 * 2 + n * 2) + n -3 + 21n = (10 + 2n) + n Combine like terms: 2n + n = 3n -3 + 21n = 10 + 3n Solving -3 + 21n = 10 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -3 + 21n + -3n = 10 + 3n + -3n Combine like terms: 21n + -3n = 18n -3 + 18n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 -3 + 18n = 10 + 0 -3 + 18n = 10 Add '3' to each side of the equation. -3 + 3 + 18n = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 18n = 10 + 3 18n = 10 + 3 Combine like terms: 10 + 3 = 13 18n = 13 Divide each side by '18'. n = 0.7222222222 Simplifying n = 0.7222222222
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