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Simplifying 1 + -1k + 7 = -43 Reorder the terms: 1 + 7 + -1k = -43 Combine like terms: 1 + 7 = 8 8 + -1k = -43 Solving 8 + -1k = -43 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1k = -43 + -8 Combine like terms: 8 + -8 = 0 0 + -1k = -43 + -8 -1k = -43 + -8 Combine like terms: -43 + -8 = -51 -1k = -51 Divide each side by '-1'. k = 51 Simplifying k = 51
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