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Simplifying -4(4k + -4) = -32 Reorder the terms: -4(-4 + 4k) = -32 (-4 * -4 + 4k * -4) = -32 (16 + -16k) = -32 Solving 16 + -16k = -32 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -16k = -32 + -16 Combine like terms: 16 + -16 = 0 0 + -16k = -32 + -16 -16k = -32 + -16 Combine like terms: -32 + -16 = -48 -16k = -48 Divide each side by '-16'. k = 3 Simplifying k = 3
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