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Simplifying -6k + -8(3 + 7k) = 0 -6k + (3 * -8 + 7k * -8) = 0 -6k + (-24 + -56k) = 0 Reorder the terms: -24 + -6k + -56k = 0 Combine like terms: -6k + -56k = -62k -24 + -62k = 0 Solving -24 + -62k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -62k = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -62k = 0 + 24 -62k = 0 + 24 Combine like terms: 0 + 24 = 24 -62k = 24 Divide each side by '-62'. k = -0.3870967742 Simplifying k = -0.3870967742
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