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Simplifying -43 = 8 + 3k Solving -43 = 8 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -43 + -3k = 8 + 3k + -3k Combine like terms: 3k + -3k = 0 -43 + -3k = 8 + 0 -43 + -3k = 8 Add '43' to each side of the equation. -43 + 43 + -3k = 8 + 43 Combine like terms: -43 + 43 = 0 0 + -3k = 8 + 43 -3k = 8 + 43 Combine like terms: 8 + 43 = 51 -3k = 51 Divide each side by '-3'. k = -17 Simplifying k = -17
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