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Simplifying 7n + -31 = 4n + 5 Reorder the terms: -31 + 7n = 4n + 5 Reorder the terms: -31 + 7n = 5 + 4n Solving -31 + 7n = 5 + 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. -31 + 7n + -4n = 5 + 4n + -4n Combine like terms: 7n + -4n = 3n -31 + 3n = 5 + 4n + -4n Combine like terms: 4n + -4n = 0 -31 + 3n = 5 + 0 -31 + 3n = 5 Add '31' to each side of the equation. -31 + 31 + 3n = 5 + 31 Combine like terms: -31 + 31 = 0 0 + 3n = 5 + 31 3n = 5 + 31 Combine like terms: 5 + 31 = 36 3n = 36 Divide each side by '3'. n = 12 Simplifying n = 12
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