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Simplifying 27 = 7(3n + -6) Reorder the terms: 27 = 7(-6 + 3n) 27 = (-6 * 7 + 3n * 7) 27 = (-42 + 21n) Solving 27 = -42 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 27 + -21n = -42 + 21n + -21n Combine like terms: 21n + -21n = 0 27 + -21n = -42 + 0 27 + -21n = -42 Add '-27' to each side of the equation. 27 + -27 + -21n = -42 + -27 Combine like terms: 27 + -27 = 0 0 + -21n = -42 + -27 -21n = -42 + -27 Combine like terms: -42 + -27 = -69 -21n = -69 Divide each side by '-21'. n = 3.285714286 Simplifying n = 3.285714286
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