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Simplifying 24 = 2(4 + 2k) 24 = (4 * 2 + 2k * 2) 24 = (8 + 4k) Solving 24 = 8 + 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 = 8 + 4k + -4k Combine like terms: 4k + -4k = 0 24 + -4k = 8 + 0 24 + -4k = 8 Add '-24' to each side of the equation. 24 + -24 + -4k = 8 + -24 Combine like terms: 24 + -24 = 0 0 + -4k = 8 + -24 -4k = 8 + -24 Combine like terms: 8 + -24 = -16 -4k = -16 Divide each side by '-4'. k = 4 Simplifying k = 4
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