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Simplifying 1 + 5n = 7n + 1 Reorder the terms: 1 + 5n = 1 + 7n Add '-1' to each side of the equation. 1 + -1 + 5n = 1 + -1 + 7n Combine like terms: 1 + -1 = 0 0 + 5n = 1 + -1 + 7n 5n = 1 + -1 + 7n Combine like terms: 1 + -1 = 0 5n = 0 + 7n 5n = 7n Solving 5n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 5n + -7n = 7n + -7n Combine like terms: 5n + -7n = -2n -2n = 7n + -7n Combine like terms: 7n + -7n = 0 -2n = 0 Divide each side by '-2'. n = 0 Simplifying n = 0
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