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Simplifying 8(4k + -4) = -5h + -32k Reorder the terms: 8(-4 + 4k) = -5h + -32k (-4 * 8 + 4k * 8) = -5h + -32k (-32 + 32k) = -5h + -32k Solving -32 + 32k = -5h + -32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '32k' to each side of the equation. -32 + 32k + 32k = -5h + -32k + 32k Combine like terms: 32k + 32k = 64k -32 + 64k = -5h + -32k + 32k Combine like terms: -32k + 32k = 0 -32 + 64k = -5h + 0 -32 + 64k = -5h Add '32' to each side of the equation. -32 + 32 + 64k = 32 + -5h Combine like terms: -32 + 32 = 0 0 + 64k = 32 + -5h 64k = 32 + -5h Divide each side by '64'. k = 0.5 + -0.078125h Simplifying k = 0.5 + -0.078125h
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