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Simplifying -6(1 + -3n) = 27 + 7n (1 * -6 + -3n * -6) = 27 + 7n (-6 + 18n) = 27 + 7n Solving -6 + 18n = 27 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -6 + 18n + -7n = 27 + 7n + -7n Combine like terms: 18n + -7n = 11n -6 + 11n = 27 + 7n + -7n Combine like terms: 7n + -7n = 0 -6 + 11n = 27 + 0 -6 + 11n = 27 Add '6' to each side of the equation. -6 + 6 + 11n = 27 + 6 Combine like terms: -6 + 6 = 0 0 + 11n = 27 + 6 11n = 27 + 6 Combine like terms: 27 + 6 = 33 11n = 33 Divide each side by '11'. n = 3 Simplifying n = 3
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