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Simplifying -9(2n + -4) = -4(3n + 12) Reorder the terms: -9(-4 + 2n) = -4(3n + 12) (-4 * -9 + 2n * -9) = -4(3n + 12) (36 + -18n) = -4(3n + 12) Reorder the terms: 36 + -18n = -4(12 + 3n) 36 + -18n = (12 * -4 + 3n * -4) 36 + -18n = (-48 + -12n) Solving 36 + -18n = -48 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 36 + -18n + 12n = -48 + -12n + 12n Combine like terms: -18n + 12n = -6n 36 + -6n = -48 + -12n + 12n Combine like terms: -12n + 12n = 0 36 + -6n = -48 + 0 36 + -6n = -48 Add '-36' to each side of the equation. 36 + -36 + -6n = -48 + -36 Combine like terms: 36 + -36 = 0 0 + -6n = -48 + -36 -6n = -48 + -36 Combine like terms: -48 + -36 = -84 -6n = -84 Divide each side by '-6'. n = 14 Simplifying n = 14
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