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Simplifying 7n + 1 = -2n + 1 Reorder the terms: 1 + 7n = -2n + 1 Reorder the terms: 1 + 7n = 1 + -2n Add '-1' to each side of the equation. 1 + -1 + 7n = 1 + -1 + -2n Combine like terms: 1 + -1 = 0 0 + 7n = 1 + -1 + -2n 7n = 1 + -1 + -2n Combine like terms: 1 + -1 = 0 7n = 0 + -2n 7n = -2n Solving 7n = -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 7n + 2n = -2n + 2n Combine like terms: 7n + 2n = 9n 9n = -2n + 2n Combine like terms: -2n + 2n = 0 9n = 0 Divide each side by '9'. n = 0 Simplifying n = 0
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