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Simplifying -2(1 + -8k) = 126 (1 * -2 + -8k * -2) = 126 (-2 + 16k) = 126 Solving -2 + 16k = 126 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 16k = 126 + 2 Combine like terms: -2 + 2 = 0 0 + 16k = 126 + 2 16k = 126 + 2 Combine like terms: 126 + 2 = 128 16k = 128 Divide each side by '16'. k = 8 Simplifying k = 8
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