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Simplifying 2(1 + 8k) = 2 + -8k (1 * 2 + 8k * 2) = 2 + -8k (2 + 16k) = 2 + -8k Add '-2' to each side of the equation. 2 + -2 + 16k = 2 + -2 + -8k Combine like terms: 2 + -2 = 0 0 + 16k = 2 + -2 + -8k 16k = 2 + -2 + -8k Combine like terms: 2 + -2 = 0 16k = 0 + -8k 16k = -8k Solving 16k = -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 16k + 8k = -8k + 8k Combine like terms: 16k + 8k = 24k 24k = -8k + 8k Combine like terms: -8k + 8k = 0 24k = 0 Divide each side by '24'. k = 0 Simplifying k = 0
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