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Simplifying 10k + -1 = -4k + -43 Reorder the terms: -1 + 10k = -4k + -43 Reorder the terms: -1 + 10k = -43 + -4k Solving -1 + 10k = -43 + -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. -1 + 10k + 4k = -43 + -4k + 4k Combine like terms: 10k + 4k = 14k -1 + 14k = -43 + -4k + 4k Combine like terms: -4k + 4k = 0 -1 + 14k = -43 + 0 -1 + 14k = -43 Add '1' to each side of the equation. -1 + 1 + 14k = -43 + 1 Combine like terms: -1 + 1 = 0 0 + 14k = -43 + 1 14k = -43 + 1 Combine like terms: -43 + 1 = -42 14k = -42 Divide each side by '14'. k = -3 Simplifying k = -3
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