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Simplifying -3n + -2(6 + -4n) = 21 + -6n -3n + (6 * -2 + -4n * -2) = 21 + -6n -3n + (-12 + 8n) = 21 + -6n Reorder the terms: -12 + -3n + 8n = 21 + -6n Combine like terms: -3n + 8n = 5n -12 + 5n = 21 + -6n Solving -12 + 5n = 21 + -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 + 5n + 6n = 21 + -6n + 6n Combine like terms: 5n + 6n = 11n -12 + 11n = 21 + -6n + 6n Combine like terms: -6n + 6n = 0 -12 + 11n = 21 + 0 -12 + 11n = 21 Add '12' to each side of the equation. -12 + 12 + 11n = 21 + 12 Combine like terms: -12 + 12 = 0 0 + 11n = 21 + 12 11n = 21 + 12 Combine like terms: 21 + 12 = 33 11n = 33 Divide each side by '11'. n = 3 Simplifying n = 3
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