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Simplifying 2[8 + -1(2 + -8K)] = 0 2[8 + (2 * -1 + -8K * -1)] = 0 2[8 + (-2 + 8K)] = 0 Combine like terms: 8 + -2 = 6 2[6 + 8K] = 0 [6 * 2 + 8K * 2] = 0 [12 + 16K] = 0 Solving 12 + 16K = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 16K = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 16K = 0 + -12 16K = 0 + -12 Combine like terms: 0 + -12 = -12 16K = -12 Divide each side by '16'. K = -0.75 Simplifying K = -0.75
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