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Simplifying 9n + 15 = 5n + 47 Reorder the terms: 15 + 9n = 5n + 47 Reorder the terms: 15 + 9n = 47 + 5n Solving 15 + 9n = 47 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 15 + 9n + -5n = 47 + 5n + -5n Combine like terms: 9n + -5n = 4n 15 + 4n = 47 + 5n + -5n Combine like terms: 5n + -5n = 0 15 + 4n = 47 + 0 15 + 4n = 47 Add '-15' to each side of the equation. 15 + -15 + 4n = 47 + -15 Combine like terms: 15 + -15 = 0 0 + 4n = 47 + -15 4n = 47 + -15 Combine like terms: 47 + -15 = 32 4n = 32 Divide each side by '4'. n = 8 Simplifying n = 8
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