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Simplifying 31 + 5n = 5 + -6(-5n + 4) Reorder the terms: 31 + 5n = 5 + -6(4 + -5n) 31 + 5n = 5 + (4 * -6 + -5n * -6) 31 + 5n = 5 + (-24 + 30n) Combine like terms: 5 + -24 = -19 31 + 5n = -19 + 30n Solving 31 + 5n = -19 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 31 + 5n + -30n = -19 + 30n + -30n Combine like terms: 5n + -30n = -25n 31 + -25n = -19 + 30n + -30n Combine like terms: 30n + -30n = 0 31 + -25n = -19 + 0 31 + -25n = -19 Add '-31' to each side of the equation. 31 + -31 + -25n = -19 + -31 Combine like terms: 31 + -31 = 0 0 + -25n = -19 + -31 -25n = -19 + -31 Combine like terms: -19 + -31 = -50 -25n = -50 Divide each side by '-25'. n = 2 Simplifying n = 2
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