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Simplifying -6(-7 + -6n) = -6(8 + -3n) (-7 * -6 + -6n * -6) = -6(8 + -3n) (42 + 36n) = -6(8 + -3n) 42 + 36n = (8 * -6 + -3n * -6) 42 + 36n = (-48 + 18n) Solving 42 + 36n = -48 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 42 + 36n + -18n = -48 + 18n + -18n Combine like terms: 36n + -18n = 18n 42 + 18n = -48 + 18n + -18n Combine like terms: 18n + -18n = 0 42 + 18n = -48 + 0 42 + 18n = -48 Add '-42' to each side of the equation. 42 + -42 + 18n = -48 + -42 Combine like terms: 42 + -42 = 0 0 + 18n = -48 + -42 18n = -48 + -42 Combine like terms: -48 + -42 = -90 18n = -90 Divide each side by '18'. n = -5 Simplifying n = -5
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