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Simplifying 8(2k + -3) = 4(4K + -8) Reorder the terms: 8(-3 + 2k) = 4(4K + -8) (-3 * 8 + 2k * 8) = 4(4K + -8) (-24 + 16k) = 4(4K + -8) Reorder the terms: -24 + 16k = 4(-8 + 4K) -24 + 16k = (-8 * 4 + 4K * 4) -24 + 16k = (-32 + 16K) Solving -24 + 16k = -32 + 16K Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 16k = -32 + 24 + 16K Combine like terms: -24 + 24 = 0 0 + 16k = -32 + 24 + 16K 16k = -32 + 24 + 16K Combine like terms: -32 + 24 = -8 16k = -8 + 16K Divide each side by '16'. k = -0.5 + K Simplifying k = -0.5 + K
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