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Simplifying -3(n + -4) + 2 = 24 + 2n Reorder the terms: -3(-4 + n) + 2 = 24 + 2n (-4 * -3 + n * -3) + 2 = 24 + 2n (12 + -3n) + 2 = 24 + 2n Reorder the terms: 12 + 2 + -3n = 24 + 2n Combine like terms: 12 + 2 = 14 14 + -3n = 24 + 2n Solving 14 + -3n = 24 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 14 + -3n + -2n = 24 + 2n + -2n Combine like terms: -3n + -2n = -5n 14 + -5n = 24 + 2n + -2n Combine like terms: 2n + -2n = 0 14 + -5n = 24 + 0 14 + -5n = 24 Add '-14' to each side of the equation. 14 + -14 + -5n = 24 + -14 Combine like terms: 14 + -14 = 0 0 + -5n = 24 + -14 -5n = 24 + -14 Combine like terms: 24 + -14 = 10 -5n = 10 Divide each side by '-5'. n = -2 Simplifying n = -2
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