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Simplifying -8(4k + -3) = 32 Reorder the terms: -8(-3 + 4k) = 32 (-3 * -8 + 4k * -8) = 32 (24 + -32k) = 32 Solving 24 + -32k = 32 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -32k = 32 + -24 Combine like terms: 24 + -24 = 0 0 + -32k = 32 + -24 -32k = 32 + -24 Combine like terms: 32 + -24 = 8 -32k = 8 Divide each side by '-32'. k = -0.25 Simplifying k = -0.25
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