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Simplifying -4(8 + 5k) = 0 (8 * -4 + 5k * -4) = 0 (-32 + -20k) = 0 Solving -32 + -20k = 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 + -20k = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -20k = 0 + 32 -20k = 0 + 32 Combine like terms: 0 + 32 = 32 -20k = 32 Divide each side by '-20'. k = -1.6 Simplifying k = -1.6
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