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Simplifying 19n + 31 = 26n + -74 Reorder the terms: 31 + 19n = 26n + -74 Reorder the terms: 31 + 19n = -74 + 26n Solving 31 + 19n = -74 + 26n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26n' to each side of the equation. 31 + 19n + -26n = -74 + 26n + -26n Combine like terms: 19n + -26n = -7n 31 + -7n = -74 + 26n + -26n Combine like terms: 26n + -26n = 0 31 + -7n = -74 + 0 31 + -7n = -74 Add '-31' to each side of the equation. 31 + -31 + -7n = -74 + -31 Combine like terms: 31 + -31 = 0 0 + -7n = -74 + -31 -7n = -74 + -31 Combine like terms: -74 + -31 = -105 -7n = -105 Divide each side by '-7'. n = 15 Simplifying n = 15
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