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Simplifying -8 + -8(3 + -8k) = -32 + 7k -8 + (3 * -8 + -8k * -8) = -32 + 7k -8 + (-24 + 64k) = -32 + 7k Combine like terms: -8 + -24 = -32 -32 + 64k = -32 + 7k Add '32' to each side of the equation. -32 + 32 + 64k = -32 + 32 + 7k Combine like terms: -32 + 32 = 0 0 + 64k = -32 + 32 + 7k 64k = -32 + 32 + 7k Combine like terms: -32 + 32 = 0 64k = 0 + 7k 64k = 7k Solving 64k = 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 64k + -7k = 7k + -7k Combine like terms: 64k + -7k = 57k 57k = 7k + -7k Combine like terms: 7k + -7k = 0 57k = 0 Divide each side by '57'. k = 0 Simplifying k = 0
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