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Simplifying -3(8k + -3) = -6(4K + -8) Reorder the terms: -3(-3 + 8k) = -6(4K + -8) (-3 * -3 + 8k * -3) = -6(4K + -8) (9 + -24k) = -6(4K + -8) Reorder the terms: 9 + -24k = -6(-8 + 4K) 9 + -24k = (-8 * -6 + 4K * -6) 9 + -24k = (48 + -24K) Solving 9 + -24k = 48 + -24K Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -24k = 48 + -9 + -24K Combine like terms: 9 + -9 = 0 0 + -24k = 48 + -9 + -24K -24k = 48 + -9 + -24K Combine like terms: 48 + -9 = 39 -24k = 39 + -24K Divide each side by '-24'. k = -1.625 + K Simplifying k = -1.625 + K
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