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Simplifying 24 + 4k = 4(7k + 6) + -8k Reorder the terms: 24 + 4k = 4(6 + 7k) + -8k 24 + 4k = (6 * 4 + 7k * 4) + -8k 24 + 4k = (24 + 28k) + -8k Combine like terms: 28k + -8k = 20k 24 + 4k = 24 + 20k Add '-24' to each side of the equation. 24 + -24 + 4k = 24 + -24 + 20k Combine like terms: 24 + -24 = 0 0 + 4k = 24 + -24 + 20k 4k = 24 + -24 + 20k Combine like terms: 24 + -24 = 0 4k = 0 + 20k 4k = 20k Solving 4k = 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. 4k + -20k = 20k + -20k Combine like terms: 4k + -20k = -16k -16k = 20k + -20k Combine like terms: 20k + -20k = 0 -16k = 0 Divide each side by '-16'. k = 0 Simplifying k = 0
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