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Simplifying 2n + 3 = 2(5 + -2n) Reorder the terms: 3 + 2n = 2(5 + -2n) 3 + 2n = (5 * 2 + -2n * 2) 3 + 2n = (10 + -4n) Solving 3 + 2n = 10 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 3 + 2n + 4n = 10 + -4n + 4n Combine like terms: 2n + 4n = 6n 3 + 6n = 10 + -4n + 4n Combine like terms: -4n + 4n = 0 3 + 6n = 10 + 0 3 + 6n = 10 Add '-3' to each side of the equation. 3 + -3 + 6n = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 6n = 10 + -3 6n = 10 + -3 Combine like terms: 10 + -3 = 7 6n = 7 Divide each side by '6'. n = 1.166666667 Simplifying n = 1.166666667
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