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Simplifying -8(3 + 8k) = -8(k + 3) (3 * -8 + 8k * -8) = -8(k + 3) (-24 + -64k) = -8(k + 3) Reorder the terms: -24 + -64k = -8(3 + k) -24 + -64k = (3 * -8 + k * -8) -24 + -64k = (-24 + -8k) Add '24' to each side of the equation. -24 + 24 + -64k = -24 + 24 + -8k Combine like terms: -24 + 24 = 0 0 + -64k = -24 + 24 + -8k -64k = -24 + 24 + -8k Combine like terms: -24 + 24 = 0 -64k = 0 + -8k -64k = -8k Solving -64k = -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -64k + 8k = -8k + 8k Combine like terms: -64k + 8k = -56k -56k = -8k + 8k Combine like terms: -8k + 8k = 0 -56k = 0 Divide each side by '-56'. k = 0 Simplifying k = 0
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