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Simplifying 8(4k + -4) = 5 + -32 Reorder the terms: 8(-4 + 4k) = 5 + -32 (-4 * 8 + 4k * 8) = 5 + -32 (-32 + 32k) = 5 + -32 Combine like terms: 5 + -32 = -27 -32 + 32k = -27 Solving -32 + 32k = -27 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 + 32k = -27 + 32 Combine like terms: -32 + 32 = 0 0 + 32k = -27 + 32 32k = -27 + 32 Combine like terms: -27 + 32 = 5 32k = 5 Divide each side by '32'. k = 0.15625 Simplifying k = 0.15625
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