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Simplifying 7n + 5 + -2n = 20 + 3n + 1 Reorder the terms: 5 + 7n + -2n = 20 + 3n + 1 Combine like terms: 7n + -2n = 5n 5 + 5n = 20 + 3n + 1 Reorder the terms: 5 + 5n = 20 + 1 + 3n Combine like terms: 20 + 1 = 21 5 + 5n = 21 + 3n Solving 5 + 5n = 21 + 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. 5 + 5n + -3n = 21 + 3n + -3n Combine like terms: 5n + -3n = 2n 5 + 2n = 21 + 3n + -3n Combine like terms: 3n + -3n = 0 5 + 2n = 21 + 0 5 + 2n = 21 Add '-5' to each side of the equation. 5 + -5 + 2n = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 2n = 21 + -5 2n = 21 + -5 Combine like terms: 21 + -5 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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