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Simplifying -4(4n + -5) + -6(1 + -3n) = 6 Reorder the terms: -4(-5 + 4n) + -6(1 + -3n) = 6 (-5 * -4 + 4n * -4) + -6(1 + -3n) = 6 (20 + -16n) + -6(1 + -3n) = 6 20 + -16n + (1 * -6 + -3n * -6) = 6 20 + -16n + (-6 + 18n) = 6 Reorder the terms: 20 + -6 + -16n + 18n = 6 Combine like terms: 20 + -6 = 14 14 + -16n + 18n = 6 Combine like terms: -16n + 18n = 2n 14 + 2n = 6 Solving 14 + 2n = 6 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2n = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 2n = 6 + -14 2n = 6 + -14 Combine like terms: 6 + -14 = -8 2n = -8 Divide each side by '2'. n = -4 Simplifying n = -4
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