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