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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 = 6k -1 + 6k = -43 + 4k + -4k Combine like terms: 4k + -4k = 0 -1 + 6k = -43 + 0 -1 + 6k = -43 Add '1' to each side of the equation. -1 + 1 + 6k = -43 + 1 Combine like terms: -1 + 1 = 0 0 + 6k = -43 + 1 6k = -43 + 1 Combine like terms: -43 + 1 = -42 6k = -42 Divide each side by '6'. k = -7 Simplifying k = -7
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