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Simplifying -6(1 + -3n) + -3(n + -6) = 12 (1 * -6 + -3n * -6) + -3(n + -6) = 12 (-6 + 18n) + -3(n + -6) = 12 Reorder the terms: -6 + 18n + -3(-6 + n) = 12 -6 + 18n + (-6 * -3 + n * -3) = 12 -6 + 18n + (18 + -3n) = 12 Reorder the terms: -6 + 18 + 18n + -3n = 12 Combine like terms: -6 + 18 = 12 12 + 18n + -3n = 12 Combine like terms: 18n + -3n = 15n 12 + 15n = 12 Add '-12' to each side of the equation. 12 + -12 + 15n = 12 + -12 Combine like terms: 12 + -12 = 0 0 + 15n = 12 + -12 15n = 12 + -12 Combine like terms: 12 + -12 = 0 15n = 0 Solving 15n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '15'. n = 0 Simplifying n = 0
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