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Simplifying 4n + 5n + 15 = 5n + 7 Reorder the terms: 15 + 4n + 5n = 5n + 7 Combine like terms: 4n + 5n = 9n 15 + 9n = 5n + 7 Reorder the terms: 15 + 9n = 7 + 5n Solving 15 + 9n = 7 + 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 = 7 + 5n + -5n Combine like terms: 9n + -5n = 4n 15 + 4n = 7 + 5n + -5n Combine like terms: 5n + -5n = 0 15 + 4n = 7 + 0 15 + 4n = 7 Add '-15' to each side of the equation. 15 + -15 + 4n = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 4n = 7 + -15 4n = 7 + -15 Combine like terms: 7 + -15 = -8 4n = -8 Divide each side by '4'. n = -2 Simplifying n = -2
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