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Simplifying 27 = 57 + 6k Solving 27 = 57 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 27 + -6k = 57 + 6k + -6k Combine like terms: 6k + -6k = 0 27 + -6k = 57 + 0 27 + -6k = 57 Add '-27' to each side of the equation. 27 + -27 + -6k = 57 + -27 Combine like terms: 27 + -27 = 0 0 + -6k = 57 + -27 -6k = 57 + -27 Combine like terms: 57 + -27 = 30 -6k = 30 Divide each side by '-6'. k = -5 Simplifying k = -5
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