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Simplifying 6 + -2k = -9 + -6k + -60 + -8k Reorder the terms: 6 + -2k = -9 + -60 + -6k + -8k Combine like terms: -9 + -60 = -69 6 + -2k = -69 + -6k + -8k Combine like terms: -6k + -8k = -14k 6 + -2k = -69 + -14k Solving 6 + -2k = -69 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. 6 + -2k + 14k = -69 + -14k + 14k Combine like terms: -2k + 14k = 12k 6 + 12k = -69 + -14k + 14k Combine like terms: -14k + 14k = 0 6 + 12k = -69 + 0 6 + 12k = -69 Add '-6' to each side of the equation. 6 + -6 + 12k = -69 + -6 Combine like terms: 6 + -6 = 0 0 + 12k = -69 + -6 12k = -69 + -6 Combine like terms: -69 + -6 = -75 12k = -75 Divide each side by '12'. k = -6.25 Simplifying k = -6.25
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