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Simplifying -8 + -4(2 + 8k) = 0 -8 + (2 * -4 + 8k * -4) = 0 -8 + (-8 + -32k) = 0 Combine like terms: -8 + -8 = -16 -16 + -32k = 0 Solving -16 + -32k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -32k = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -32k = 0 + 16 -32k = 0 + 16 Combine like terms: 0 + 16 = 16 -32k = 16 Divide each side by '-32'. k = -0.5 Simplifying k = -0.5
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