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Simplifying -8(7k + 8) = 384 Reorder the terms: -8(8 + 7k) = 384 (8 * -8 + 7k * -8) = 384 (-64 + -56k) = 384 Solving -64 + -56k = 384 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + -56k = 384 + 64 Combine like terms: -64 + 64 = 0 0 + -56k = 384 + 64 -56k = 384 + 64 Combine like terms: 384 + 64 = 448 -56k = 448 Divide each side by '-56'. k = -8 Simplifying k = -8
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