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Simplifying 8(4K + -1r) = -5k + -32 (4K * 8 + -1r * 8) = -5k + -32 (32K + -8r) = -5k + -32 Reorder the terms: 32K + -8r = -32 + -5k Solving 32K + -8r = -32 + -5k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '8r' to each side of the equation. 32K + -8r + 8r = -32 + -5k + 8r Combine like terms: -8r + 8r = 0 32K + 0 = -32 + -5k + 8r 32K = -32 + -5k + 8r Divide each side by '32'. K = -1 + -0.15625k + 0.25r Simplifying K = -1 + -0.15625k + 0.25r
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