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Simplifying -4(3n + 2) = 3(6n + -6) Reorder the terms: -4(2 + 3n) = 3(6n + -6) (2 * -4 + 3n * -4) = 3(6n + -6) (-8 + -12n) = 3(6n + -6) Reorder the terms: -8 + -12n = 3(-6 + 6n) -8 + -12n = (-6 * 3 + 6n * 3) -8 + -12n = (-18 + 18n) Solving -8 + -12n = -18 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. -8 + -12n + -18n = -18 + 18n + -18n Combine like terms: -12n + -18n = -30n -8 + -30n = -18 + 18n + -18n Combine like terms: 18n + -18n = 0 -8 + -30n = -18 + 0 -8 + -30n = -18 Add '8' to each side of the equation. -8 + 8 + -30n = -18 + 8 Combine like terms: -8 + 8 = 0 0 + -30n = -18 + 8 -30n = -18 + 8 Combine like terms: -18 + 8 = -10 -30n = -10 Divide each side by '-30'. n = 0.3333333333 Simplifying n = 0.3333333333
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