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Simplifying -3(-3n + 7) = 39 + 6n Reorder the terms: -3(7 + -3n) = 39 + 6n (7 * -3 + -3n * -3) = 39 + 6n (-21 + 9n) = 39 + 6n Solving -21 + 9n = 39 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -21 + 9n + -6n = 39 + 6n + -6n Combine like terms: 9n + -6n = 3n -21 + 3n = 39 + 6n + -6n Combine like terms: 6n + -6n = 0 -21 + 3n = 39 + 0 -21 + 3n = 39 Add '21' to each side of the equation. -21 + 21 + 3n = 39 + 21 Combine like terms: -21 + 21 = 0 0 + 3n = 39 + 21 3n = 39 + 21 Combine like terms: 39 + 21 = 60 3n = 60 Divide each side by '3'. n = 20 Simplifying n = 20
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