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Simplifying -4(6 + -5k) + -3(3k + -1) = -43 (6 * -4 + -5k * -4) + -3(3k + -1) = -43 (-24 + 20k) + -3(3k + -1) = -43 Reorder the terms: -24 + 20k + -3(-1 + 3k) = -43 -24 + 20k + (-1 * -3 + 3k * -3) = -43 -24 + 20k + (3 + -9k) = -43 Reorder the terms: -24 + 3 + 20k + -9k = -43 Combine like terms: -24 + 3 = -21 -21 + 20k + -9k = -43 Combine like terms: 20k + -9k = 11k -21 + 11k = -43 Solving -21 + 11k = -43 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 11k = -43 + 21 Combine like terms: -21 + 21 = 0 0 + 11k = -43 + 21 11k = -43 + 21 Combine like terms: -43 + 21 = -22 11k = -22 Divide each side by '11'. k = -2 Simplifying k = -2
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