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Simplifying 1 + 7n = 6 + -2n Solving 1 + 7n = 6 + -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. 1 + 7n + 2n = 6 + -2n + 2n Combine like terms: 7n + 2n = 9n 1 + 9n = 6 + -2n + 2n Combine like terms: -2n + 2n = 0 1 + 9n = 6 + 0 1 + 9n = 6 Add '-1' to each side of the equation. 1 + -1 + 9n = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 9n = 6 + -1 9n = 6 + -1 Combine like terms: 6 + -1 = 5 9n = 5 Divide each side by '9'. n = 0.5555555556 Simplifying n = 0.5555555556
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