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Simplifying 6 + -3(-4n + -8) = (-2n + -4) + -2 Reorder the terms: 6 + -3(-8 + -4n) = (-2n + -4) + -2 6 + (-8 * -3 + -4n * -3) = (-2n + -4) + -2 6 + (24 + 12n) = (-2n + -4) + -2 Combine like terms: 6 + 24 = 30 30 + 12n = (-2n + -4) + -2 Reorder the terms: 30 + 12n = (-4 + -2n) + -2 Remove parenthesis around (-4 + -2n) 30 + 12n = -4 + -2n + -2 Reorder the terms: 30 + 12n = -4 + -2 + -2n Combine like terms: -4 + -2 = -6 30 + 12n = -6 + -2n Solving 30 + 12n = -6 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 30 + 12n + 2n = -6 + -2n + 2n Combine like terms: 12n + 2n = 14n 30 + 14n = -6 + -2n + 2n Combine like terms: -2n + 2n = 0 30 + 14n = -6 + 0 30 + 14n = -6 Add '-30' to each side of the equation. 30 + -30 + 14n = -6 + -30 Combine like terms: 30 + -30 = 0 0 + 14n = -6 + -30 14n = -6 + -30 Combine like terms: -6 + -30 = -36 14n = -36 Divide each side by '14'. n = -2.571428571 Simplifying n = -2.571428571
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