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Simplifying 18n + -4 + 8 + -9n + 3n + -6 = 46 Reorder the terms: -4 + 8 + -6 + 18n + -9n + 3n = 46 Combine like terms: -4 + 8 = 4 4 + -6 + 18n + -9n + 3n = 46 Combine like terms: 4 + -6 = -2 -2 + 18n + -9n + 3n = 46 Combine like terms: 18n + -9n = 9n -2 + 9n + 3n = 46 Combine like terms: 9n + 3n = 12n -2 + 12n = 46 Solving -2 + 12n = 46 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 12n = 46 + 2 Combine like terms: -2 + 2 = 0 0 + 12n = 46 + 2 12n = 46 + 2 Combine like terms: 46 + 2 = 48 12n = 48 Divide each side by '12'. n = 4 Simplifying n = 4
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