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Simplifying 4n + 5n + -15 + 3n + 25 + 6n + -10 + 90 = 180 Reorder the terms: -15 + 25 + -10 + 90 + 4n + 5n + 3n + 6n = 180 Combine like terms: -15 + 25 = 10 10 + -10 + 90 + 4n + 5n + 3n + 6n = 180 Combine like terms: 10 + -10 = 0 0 + 90 + 4n + 5n + 3n + 6n = 180 90 + 4n + 5n + 3n + 6n = 180 Combine like terms: 4n + 5n = 9n 90 + 9n + 3n + 6n = 180 Combine like terms: 9n + 3n = 12n 90 + 12n + 6n = 180 Combine like terms: 12n + 6n = 18n 90 + 18n = 180 Solving 90 + 18n = 180 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 18n = 180 + -90 Combine like terms: 90 + -90 = 0 0 + 18n = 180 + -90 18n = 180 + -90 Combine like terms: 180 + -90 = 90 18n = 90 Divide each side by '18'. n = 5 Simplifying n = 5
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