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Simplifying -4 + -4(8k + 5) = 168 Reorder the terms: -4 + -4(5 + 8k) = 168 -4 + (5 * -4 + 8k * -4) = 168 -4 + (-20 + -32k) = 168 Combine like terms: -4 + -20 = -24 -24 + -32k = 168 Solving -24 + -32k = 168 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 + -32k = 168 + 24 Combine like terms: -24 + 24 = 0 0 + -32k = 168 + 24 -32k = 168 + 24 Combine like terms: 168 + 24 = 192 -32k = 192 Divide each side by '-32'. k = -6 Simplifying k = -6
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