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Simplifying 9(4 + 2n) = 6(n + -8) (4 * 9 + 2n * 9) = 6(n + -8) (36 + 18n) = 6(n + -8) Reorder the terms: 36 + 18n = 6(-8 + n) 36 + 18n = (-8 * 6 + n * 6) 36 + 18n = (-48 + 6n) Solving 36 + 18n = -48 + 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. 36 + 18n + -6n = -48 + 6n + -6n Combine like terms: 18n + -6n = 12n 36 + 12n = -48 + 6n + -6n Combine like terms: 6n + -6n = 0 36 + 12n = -48 + 0 36 + 12n = -48 Add '-36' to each side of the equation. 36 + -36 + 12n = -48 + -36 Combine like terms: 36 + -36 = 0 0 + 12n = -48 + -36 12n = -48 + -36 Combine like terms: -48 + -36 = -84 12n = -84 Divide each side by '12'. n = -7 Simplifying n = -7
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