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Simplifying k + -3k = 6k + 5 + -1k Combine like terms: k + -3k = -2k -2k = 6k + 5 + -1k Reorder the terms: -2k = 5 + 6k + -1k Combine like terms: 6k + -1k = 5k -2k = 5 + 5k Solving -2k = 5 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -2k + -5k = 5 + 5k + -5k Combine like terms: -2k + -5k = -7k -7k = 5 + 5k + -5k Combine like terms: 5k + -5k = 0 -7k = 5 + 0 -7k = 5 Divide each side by '-7'. k = -0.7142857143 Simplifying k = -0.7142857143
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