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Simplifying 5n + 4 = 31 + -4n Reorder the terms: 4 + 5n = 31 + -4n Solving 4 + 5n = 31 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 4 + 5n + 4n = 31 + -4n + 4n Combine like terms: 5n + 4n = 9n 4 + 9n = 31 + -4n + 4n Combine like terms: -4n + 4n = 0 4 + 9n = 31 + 0 4 + 9n = 31 Add '-4' to each side of the equation. 4 + -4 + 9n = 31 + -4 Combine like terms: 4 + -4 = 0 0 + 9n = 31 + -4 9n = 31 + -4 Combine like terms: 31 + -4 = 27 9n = 27 Divide each side by '9'. n = 3 Simplifying n = 3
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