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Simplifying -3(-9n + 12) + 12 = 6(n + 10) Reorder the terms: -3(12 + -9n) + 12 = 6(n + 10) (12 * -3 + -9n * -3) + 12 = 6(n + 10) (-36 + 27n) + 12 = 6(n + 10) Reorder the terms: -36 + 12 + 27n = 6(n + 10) Combine like terms: -36 + 12 = -24 -24 + 27n = 6(n + 10) Reorder the terms: -24 + 27n = 6(10 + n) -24 + 27n = (10 * 6 + n * 6) -24 + 27n = (60 + 6n) Solving -24 + 27n = 60 + 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. -24 + 27n + -6n = 60 + 6n + -6n Combine like terms: 27n + -6n = 21n -24 + 21n = 60 + 6n + -6n Combine like terms: 6n + -6n = 0 -24 + 21n = 60 + 0 -24 + 21n = 60 Add '24' to each side of the equation. -24 + 24 + 21n = 60 + 24 Combine like terms: -24 + 24 = 0 0 + 21n = 60 + 24 21n = 60 + 24 Combine like terms: 60 + 24 = 84 21n = 84 Divide each side by '21'. n = 4 Simplifying n = 4
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