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Simplifying -8(4n + -6) = 4n + -4 + -6n Reorder the terms: -8(-6 + 4n) = 4n + -4 + -6n (-6 * -8 + 4n * -8) = 4n + -4 + -6n (48 + -32n) = 4n + -4 + -6n Reorder the terms: 48 + -32n = -4 + 4n + -6n Combine like terms: 4n + -6n = -2n 48 + -32n = -4 + -2n Solving 48 + -32n = -4 + -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. 48 + -32n + 2n = -4 + -2n + 2n Combine like terms: -32n + 2n = -30n 48 + -30n = -4 + -2n + 2n Combine like terms: -2n + 2n = 0 48 + -30n = -4 + 0 48 + -30n = -4 Add '-48' to each side of the equation. 48 + -48 + -30n = -4 + -48 Combine like terms: 48 + -48 = 0 0 + -30n = -4 + -48 -30n = -4 + -48 Combine like terms: -4 + -48 = -52 -30n = -52 Divide each side by '-30'. n = 1.733333333 Simplifying n = 1.733333333
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