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Simplifying 2n + 1 = 5(2 + n) Reorder the terms: 1 + 2n = 5(2 + n) 1 + 2n = (2 * 5 + n * 5) 1 + 2n = (10 + 5n) Solving 1 + 2n = 10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 1 + 2n + -5n = 10 + 5n + -5n Combine like terms: 2n + -5n = -3n 1 + -3n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 1 + -3n = 10 + 0 1 + -3n = 10 Add '-1' to each side of the equation. 1 + -1 + -3n = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -3n = 10 + -1 -3n = 10 + -1 Combine like terms: 10 + -1 = 9 -3n = 9 Divide each side by '-3'. n = -3 Simplifying n = -3
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