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Simplifying -6(1 + -3n) + -4(n + 6) = 0 (1 * -6 + -3n * -6) + -4(n + 6) = 0 (-6 + 18n) + -4(n + 6) = 0 Reorder the terms: -6 + 18n + -4(6 + n) = 0 -6 + 18n + (6 * -4 + n * -4) = 0 -6 + 18n + (-24 + -4n) = 0 Reorder the terms: -6 + -24 + 18n + -4n = 0 Combine like terms: -6 + -24 = -30 -30 + 18n + -4n = 0 Combine like terms: 18n + -4n = 14n -30 + 14n = 0 Solving -30 + 14n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 14n = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 14n = 0 + 30 14n = 0 + 30 Combine like terms: 0 + 30 = 30 14n = 30 Divide each side by '14'. n = 2.142857143 Simplifying n = 2.142857143
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