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Simplifying -6(4n + -8) = 6n + 18 Reorder the terms: -6(-8 + 4n) = 6n + 18 (-8 * -6 + 4n * -6) = 6n + 18 (48 + -24n) = 6n + 18 Reorder the terms: 48 + -24n = 18 + 6n Solving 48 + -24n = 18 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 48 + -24n + -6n = 18 + 6n + -6n Combine like terms: -24n + -6n = -30n 48 + -30n = 18 + 6n + -6n Combine like terms: 6n + -6n = 0 48 + -30n = 18 + 0 48 + -30n = 18 Add '-48' to each side of the equation. 48 + -48 + -30n = 18 + -48 Combine like terms: 48 + -48 = 0 0 + -30n = 18 + -48 -30n = 18 + -48 Combine like terms: 18 + -48 = -30 -30n = -30 Divide each side by '-30'. n = 1 Simplifying n = 1
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