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Simplifying 6k + -1k = 9k + -42 Combine like terms: 6k + -1k = 5k 5k = 9k + -42 Reorder the terms: 5k = -42 + 9k Solving 5k = -42 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 5k + -9k = -42 + 9k + -9k Combine like terms: 5k + -9k = -4k -4k = -42 + 9k + -9k Combine like terms: 9k + -9k = 0 -4k = -42 + 0 -4k = -42 Divide each side by '-4'. k = 10.5 Simplifying k = 10.5
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