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Simplifying 8(3 + -8k) = -3k + 24 (3 * 8 + -8k * 8) = -3k + 24 (24 + -64k) = -3k + 24 Reorder the terms: 24 + -64k = 24 + -3k Add '-24' to each side of the equation. 24 + -24 + -64k = 24 + -24 + -3k Combine like terms: 24 + -24 = 0 0 + -64k = 24 + -24 + -3k -64k = 24 + -24 + -3k Combine like terms: 24 + -24 = 0 -64k = 0 + -3k -64k = -3k Solving -64k = -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -64k + 3k = -3k + 3k Combine like terms: -64k + 3k = -61k -61k = -3k + 3k Combine like terms: -3k + 3k = 0 -61k = 0 Divide each side by '-61'. k = 0 Simplifying k = 0
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