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Simplifying -4(-2n + -3) = 6n + 24 Reorder the terms: -4(-3 + -2n) = 6n + 24 (-3 * -4 + -2n * -4) = 6n + 24 (12 + 8n) = 6n + 24 Reorder the terms: 12 + 8n = 24 + 6n Solving 12 + 8n = 24 + 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. 12 + 8n + -6n = 24 + 6n + -6n Combine like terms: 8n + -6n = 2n 12 + 2n = 24 + 6n + -6n Combine like terms: 6n + -6n = 0 12 + 2n = 24 + 0 12 + 2n = 24 Add '-12' to each side of the equation. 12 + -12 + 2n = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 2n = 24 + -12 2n = 24 + -12 Combine like terms: 24 + -12 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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