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Simplifying 5n + 13 = 5 + -7n Reorder the terms: 13 + 5n = 5 + -7n Solving 13 + 5n = 5 + -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. 13 + 5n + 7n = 5 + -7n + 7n Combine like terms: 5n + 7n = 12n 13 + 12n = 5 + -7n + 7n Combine like terms: -7n + 7n = 0 13 + 12n = 5 + 0 13 + 12n = 5 Add '-13' to each side of the equation. 13 + -13 + 12n = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 12n = 5 + -13 12n = 5 + -13 Combine like terms: 5 + -13 = -8 12n = -8 Divide each side by '12'. n = -0.6666666667 Simplifying n = -0.6666666667
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