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Simplifying 8(4k + -4) = -5I + -32 Reorder the terms: 8(-4 + 4k) = -5I + -32 (-4 * 8 + 4k * 8) = -5I + -32 (-32 + 32k) = -5I + -32 Reorder the terms: -32 + 32k = -32 + -5I Add '32' to each side of the equation. -32 + 32 + 32k = -32 + 32 + -5I Combine like terms: -32 + 32 = 0 0 + 32k = -32 + 32 + -5I 32k = -32 + 32 + -5I Combine like terms: -32 + 32 = 0 32k = 0 + -5I 32k = -5I Solving 32k = -5I Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '32'. k = -0.15625I Simplifying k = -0.15625I
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