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Simplifying -6n + 21 = 3(7 + -3n) Reorder the terms: 21 + -6n = 3(7 + -3n) 21 + -6n = (7 * 3 + -3n * 3) 21 + -6n = (21 + -9n) Add '-21' to each side of the equation. 21 + -21 + -6n = 21 + -21 + -9n Combine like terms: 21 + -21 = 0 0 + -6n = 21 + -21 + -9n -6n = 21 + -21 + -9n Combine like terms: 21 + -21 = 0 -6n = 0 + -9n -6n = -9n Solving -6n = -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. -6n + 9n = -9n + 9n Combine like terms: -6n + 9n = 3n 3n = -9n + 9n Combine like terms: -9n + 9n = 0 3n = 0 Divide each side by '3'. n = 0 Simplifying n = 0
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