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Simplifying 2(8k + 1) = 50 + 4k Reorder the terms: 2(1 + 8k) = 50 + 4k (1 * 2 + 8k * 2) = 50 + 4k (2 + 16k) = 50 + 4k Solving 2 + 16k = 50 + 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. 2 + 16k + -4k = 50 + 4k + -4k Combine like terms: 16k + -4k = 12k 2 + 12k = 50 + 4k + -4k Combine like terms: 4k + -4k = 0 2 + 12k = 50 + 0 2 + 12k = 50 Add '-2' to each side of the equation. 2 + -2 + 12k = 50 + -2 Combine like terms: 2 + -2 = 0 0 + 12k = 50 + -2 12k = 50 + -2 Combine like terms: 50 + -2 = 48 12k = 48 Divide each side by '12'. k = 4 Simplifying k = 4
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