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Simplifying -3(3 + -2n) + -5 = 22 + -6n (3 * -3 + -2n * -3) + -5 = 22 + -6n (-9 + 6n) + -5 = 22 + -6n Reorder the terms: -9 + -5 + 6n = 22 + -6n Combine like terms: -9 + -5 = -14 -14 + 6n = 22 + -6n Solving -14 + 6n = 22 + -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. -14 + 6n + 6n = 22 + -6n + 6n Combine like terms: 6n + 6n = 12n -14 + 12n = 22 + -6n + 6n Combine like terms: -6n + 6n = 0 -14 + 12n = 22 + 0 -14 + 12n = 22 Add '14' to each side of the equation. -14 + 14 + 12n = 22 + 14 Combine like terms: -14 + 14 = 0 0 + 12n = 22 + 14 12n = 22 + 14 Combine like terms: 22 + 14 = 36 12n = 36 Divide each side by '12'. n = 3 Simplifying n = 3
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