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Simplifying 8(2k + 2) = 16 + 4k Reorder the terms: 8(2 + 2k) = 16 + 4k (2 * 8 + 2k * 8) = 16 + 4k (16 + 16k) = 16 + 4k Add '-16' to each side of the equation. 16 + -16 + 16k = 16 + -16 + 4k Combine like terms: 16 + -16 = 0 0 + 16k = 16 + -16 + 4k 16k = 16 + -16 + 4k Combine like terms: 16 + -16 = 0 16k = 0 + 4k 16k = 4k Solving 16k = 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. 16k + -4k = 4k + -4k Combine like terms: 16k + -4k = 12k 12k = 4k + -4k Combine like terms: 4k + -4k = 0 12k = 0 Divide each side by '12'. k = 0 Simplifying k = 0
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