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Simplifying -15 + 75 = 4n + -30 + 5n Combine like terms: -15 + 75 = 60 60 = 4n + -30 + 5n Reorder the terms: 60 = -30 + 4n + 5n Combine like terms: 4n + 5n = 9n 60 = -30 + 9n Solving 60 = -30 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 60 + -9n = -30 + 9n + -9n Combine like terms: 9n + -9n = 0 60 + -9n = -30 + 0 60 + -9n = -30 Add '-60' to each side of the equation. 60 + -60 + -9n = -30 + -60 Combine like terms: 60 + -60 = 0 0 + -9n = -30 + -60 -9n = -30 + -60 Combine like terms: -30 + -60 = -90 -9n = -90 Divide each side by '-9'. n = 10 Simplifying n = 10
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