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Simplifying -6(3n + 3) + 4(n + -6) = 0 Reorder the terms: -6(3 + 3n) + 4(n + -6) = 0 (3 * -6 + 3n * -6) + 4(n + -6) = 0 (-18 + -18n) + 4(n + -6) = 0 Reorder the terms: -18 + -18n + 4(-6 + n) = 0 -18 + -18n + (-6 * 4 + n * 4) = 0 -18 + -18n + (-24 + 4n) = 0 Reorder the terms: -18 + -24 + -18n + 4n = 0 Combine like terms: -18 + -24 = -42 -42 + -18n + 4n = 0 Combine like terms: -18n + 4n = -14n -42 + -14n = 0 Solving -42 + -14n = 0 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 = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -14n = 0 + 42 -14n = 0 + 42 Combine like terms: 0 + 42 = 42 -14n = 42 Divide each side by '-14'. n = -3 Simplifying n = -3
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