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Simplifying -24 + -7k = 8k + -8(3 + -6k) -24 + -7k = 8k + (3 * -8 + -6k * -8) -24 + -7k = 8k + (-24 + 48k) Reorder the terms: -24 + -7k = -24 + 8k + 48k Combine like terms: 8k + 48k = 56k -24 + -7k = -24 + 56k Add '24' to each side of the equation. -24 + 24 + -7k = -24 + 24 + 56k Combine like terms: -24 + 24 = 0 0 + -7k = -24 + 24 + 56k -7k = -24 + 24 + 56k Combine like terms: -24 + 24 = 0 -7k = 0 + 56k -7k = 56k Solving -7k = 56k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-56k' to each side of the equation. -7k + -56k = 56k + -56k Combine like terms: -7k + -56k = -63k -63k = 56k + -56k Combine like terms: 56k + -56k = 0 -63k = 0 Divide each side by '-63'. k = 0 Simplifying k = 0
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