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Simplifying 5n + 2 = 6 + -7n Reorder the terms: 2 + 5n = 6 + -7n Solving 2 + 5n = 6 + -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. 2 + 5n + 7n = 6 + -7n + 7n Combine like terms: 5n + 7n = 12n 2 + 12n = 6 + -7n + 7n Combine like terms: -7n + 7n = 0 2 + 12n = 6 + 0 2 + 12n = 6 Add '-2' to each side of the equation. 2 + -2 + 12n = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 12n = 6 + -2 12n = 6 + -2 Combine like terms: 6 + -2 = 4 12n = 4 Divide each side by '12'. n = 0.3333333333 Simplifying n = 0.3333333333
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