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