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Simplifying k + -3k = -6k + 5 + -8k Combine like terms: k + -3k = -2k -2k = -6k + 5 + -8k Reorder the terms: -2k = 5 + -6k + -8k Combine like terms: -6k + -8k = -14k -2k = 5 + -14k Solving -2k = 5 + -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. -2k + 14k = 5 + -14k + 14k Combine like terms: -2k + 14k = 12k 12k = 5 + -14k + 14k Combine like terms: -14k + 14k = 0 12k = 5 + 0 12k = 5 Divide each side by '12'. k = 0.4166666667 Simplifying k = 0.4166666667
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