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Simplifying 6 = 8 + 5n + -7n Combine like terms: 5n + -7n = -2n 6 = 8 + -2n Solving 6 = 8 + -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. 6 + 2n = 8 + -2n + 2n Combine like terms: -2n + 2n = 0 6 + 2n = 8 + 0 6 + 2n = 8 Add '-6' to each side of the equation. 6 + -6 + 2n = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 2n = 8 + -6 2n = 8 + -6 Combine like terms: 8 + -6 = 2 2n = 2 Divide each side by '2'. n = 1 Simplifying n = 1
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