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Simplifying (-2k + -4)(-7) = 0 Reorder the terms: (-4 + -2k)(-7) = 0 Reorder the terms for easier multiplication: -7(-4 + -2k) = 0 (-4 * -7 + -2k * -7) = 0 (28 + 14k) = 0 Solving 28 + 14k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 14k = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 14k = 0 + -28 14k = 0 + -28 Combine like terms: 0 + -28 = -28 14k = -28 Divide each side by '14'. k = -2 Simplifying k = -2
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