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Simplifying -4(-2n + 6) = -3n + 9 Reorder the terms: -4(6 + -2n) = -3n + 9 (6 * -4 + -2n * -4) = -3n + 9 (-24 + 8n) = -3n + 9 Reorder the terms: -24 + 8n = 9 + -3n Solving -24 + 8n = 9 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -24 + 8n + 3n = 9 + -3n + 3n Combine like terms: 8n + 3n = 11n -24 + 11n = 9 + -3n + 3n Combine like terms: -3n + 3n = 0 -24 + 11n = 9 + 0 -24 + 11n = 9 Add '24' to each side of the equation. -24 + 24 + 11n = 9 + 24 Combine like terms: -24 + 24 = 0 0 + 11n = 9 + 24 11n = 9 + 24 Combine like terms: 9 + 24 = 33 11n = 33 Divide each side by '11'. n = 3 Simplifying n = 3
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