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Simplifying 7n + 5 = 3n + 1 Reorder the terms: 5 + 7n = 3n + 1 Reorder the terms: 5 + 7n = 1 + 3n Solving 5 + 7n = 1 + 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 + 7n + -3n = 1 + 3n + -3n Combine like terms: 7n + -3n = 4n 5 + 4n = 1 + 3n + -3n Combine like terms: 3n + -3n = 0 5 + 4n = 1 + 0 5 + 4n = 1 Add '-5' to each side of the equation. 5 + -5 + 4n = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 4n = 1 + -5 4n = 1 + -5 Combine like terms: 1 + -5 = -4 4n = -4 Divide each side by '4'. n = -1 Simplifying n = -1
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