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Simplifying -6n + -6(2n + -8) = -6(6n + -8) Reorder the terms: -6n + -6(-8 + 2n) = -6(6n + -8) -6n + (-8 * -6 + 2n * -6) = -6(6n + -8) -6n + (48 + -12n) = -6(6n + -8) Reorder the terms: 48 + -6n + -12n = -6(6n + -8) Combine like terms: -6n + -12n = -18n 48 + -18n = -6(6n + -8) Reorder the terms: 48 + -18n = -6(-8 + 6n) 48 + -18n = (-8 * -6 + 6n * -6) 48 + -18n = (48 + -36n) Add '-48' to each side of the equation. 48 + -48 + -18n = 48 + -48 + -36n Combine like terms: 48 + -48 = 0 0 + -18n = 48 + -48 + -36n -18n = 48 + -48 + -36n Combine like terms: 48 + -48 = 0 -18n = 0 + -36n -18n = -36n Solving -18n = -36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36n' to each side of the equation. -18n + 36n = -36n + 36n Combine like terms: -18n + 36n = 18n 18n = -36n + 36n Combine like terms: -36n + 36n = 0 18n = 0 Divide each side by '18'. n = 0 Simplifying n = 0
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