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Simplifying 85 + -27k = 39k + -1889 Reorder the terms: 85 + -27k = -1889 + 39k Solving 85 + -27k = -1889 + 39k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-39k' to each side of the equation. 85 + -27k + -39k = -1889 + 39k + -39k Combine like terms: -27k + -39k = -66k 85 + -66k = -1889 + 39k + -39k Combine like terms: 39k + -39k = 0 85 + -66k = -1889 + 0 85 + -66k = -1889 Add '-85' to each side of the equation. 85 + -85 + -66k = -1889 + -85 Combine like terms: 85 + -85 = 0 0 + -66k = -1889 + -85 -66k = -1889 + -85 Combine like terms: -1889 + -85 = -1974 -66k = -1974 Divide each side by '-66'. k = 29.90909091 Simplifying k = 29.90909091
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