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Simplifying 6k + -5 + -1k = -17 + k Reorder the terms: -5 + 6k + -1k = -17 + k Combine like terms: 6k + -1k = 5k -5 + 5k = -17 + k Solving -5 + 5k = -17 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -5 + 5k + -1k = -17 + k + -1k Combine like terms: 5k + -1k = 4k -5 + 4k = -17 + k + -1k Combine like terms: k + -1k = 0 -5 + 4k = -17 + 0 -5 + 4k = -17 Add '5' to each side of the equation. -5 + 5 + 4k = -17 + 5 Combine like terms: -5 + 5 = 0 0 + 4k = -17 + 5 4k = -17 + 5 Combine like terms: -17 + 5 = -12 4k = -12 Divide each side by '4'. k = -3 Simplifying k = -3
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