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