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Simplifying 6k + -42 = 27 + -4k Reorder the terms: -42 + 6k = 27 + -4k Solving -42 + 6k = 27 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -42 + 6k + 4k = 27 + -4k + 4k Combine like terms: 6k + 4k = 10k -42 + 10k = 27 + -4k + 4k Combine like terms: -4k + 4k = 0 -42 + 10k = 27 + 0 -42 + 10k = 27 Add '42' to each side of the equation. -42 + 42 + 10k = 27 + 42 Combine like terms: -42 + 42 = 0 0 + 10k = 27 + 42 10k = 27 + 42 Combine like terms: 27 + 42 = 69 10k = 69 Divide each side by '10'. k = 6.9 Simplifying k = 6.9
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