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Simplifying k + -3k + -3k = 6k + 5 + -8k Combine like terms: k + -3k = -2k -2k + -3k = 6k + 5 + -8k Combine like terms: -2k + -3k = -5k -5k = 6k + 5 + -8k Reorder the terms: -5k = 5 + 6k + -8k Combine like terms: 6k + -8k = -2k -5k = 5 + -2k Solving -5k = 5 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -5k + 2k = 5 + -2k + 2k Combine like terms: -5k + 2k = -3k -3k = 5 + -2k + 2k Combine like terms: -2k + 2k = 0 -3k = 5 + 0 -3k = 5 Divide each side by '-3'. k = -1.666666667 Simplifying k = -1.666666667
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