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Simplifying 10k + -1 = -6k + -43 Reorder the terms: -1 + 10k = -6k + -43 Reorder the terms: -1 + 10k = -43 + -6k Solving -1 + 10k = -43 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -1 + 10k + 6k = -43 + -6k + 6k Combine like terms: 10k + 6k = 16k -1 + 16k = -43 + -6k + 6k Combine like terms: -6k + 6k = 0 -1 + 16k = -43 + 0 -1 + 16k = -43 Add '1' to each side of the equation. -1 + 1 + 16k = -43 + 1 Combine like terms: -1 + 1 = 0 0 + 16k = -43 + 1 16k = -43 + 1 Combine like terms: -43 + 1 = -42 16k = -42 Divide each side by '16'. k = -2.625 Simplifying k = -2.625
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