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Simplifying 5n + 3 = 2(n + 2) + 3 Reorder the terms: 3 + 5n = 2(n + 2) + 3 Reorder the terms: 3 + 5n = 2(2 + n) + 3 3 + 5n = (2 * 2 + n * 2) + 3 3 + 5n = (4 + 2n) + 3 Reorder the terms: 3 + 5n = 4 + 3 + 2n Combine like terms: 4 + 3 = 7 3 + 5n = 7 + 2n Solving 3 + 5n = 7 + 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. 3 + 5n + -2n = 7 + 2n + -2n Combine like terms: 5n + -2n = 3n 3 + 3n = 7 + 2n + -2n Combine like terms: 2n + -2n = 0 3 + 3n = 7 + 0 3 + 3n = 7 Add '-3' to each side of the equation. 3 + -3 + 3n = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 3n = 7 + -3 3n = 7 + -3 Combine like terms: 7 + -3 = 4 3n = 4 Divide each side by '3'. n = 1.333333333 Simplifying n = 1.333333333
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