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Simplifying -4(2k + 1) = 0 Reorder the terms: -4(1 + 2k) = 0 (1 * -4 + 2k * -4) = 0 (-4 + -8k) = 0 Solving -4 + -8k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -8k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -8k = 0 + 4 -8k = 0 + 4 Combine like terms: 0 + 4 = 4 -8k = 4 Divide each side by '-8'. k = -0.5 Simplifying k = -0.5
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