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Simplifying -2(2n + -6) + -6(-3n + -5) = 14 Reorder the terms: -2(-6 + 2n) + -6(-3n + -5) = 14 (-6 * -2 + 2n * -2) + -6(-3n + -5) = 14 (12 + -4n) + -6(-3n + -5) = 14 Reorder the terms: 12 + -4n + -6(-5 + -3n) = 14 12 + -4n + (-5 * -6 + -3n * -6) = 14 12 + -4n + (30 + 18n) = 14 Reorder the terms: 12 + 30 + -4n + 18n = 14 Combine like terms: 12 + 30 = 42 42 + -4n + 18n = 14 Combine like terms: -4n + 18n = 14n 42 + 14n = 14 Solving 42 + 14n = 14 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 14n = 14 + -42 Combine like terms: 42 + -42 = 0 0 + 14n = 14 + -42 14n = 14 + -42 Combine like terms: 14 + -42 = -28 14n = -28 Divide each side by '14'. n = -2 Simplifying n = -2
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