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Simplifying 9 + -3(1 + -7k) = -24 9 + (1 * -3 + -7k * -3) = -24 9 + (-3 + 21k) = -24 Combine like terms: 9 + -3 = 6 6 + 21k = -24 Solving 6 + 21k = -24 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 21k = -24 + -6 Combine like terms: 6 + -6 = 0 0 + 21k = -24 + -6 21k = -24 + -6 Combine like terms: -24 + -6 = -30 21k = -30 Divide each side by '21'. k = -1.428571429 Simplifying k = -1.428571429
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