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Simplifying -2(1 + -6k) = 26 + 8k (1 * -2 + -6k * -2) = 26 + 8k (-2 + 12k) = 26 + 8k Solving -2 + 12k = 26 + 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. -2 + 12k + -8k = 26 + 8k + -8k Combine like terms: 12k + -8k = 4k -2 + 4k = 26 + 8k + -8k Combine like terms: 8k + -8k = 0 -2 + 4k = 26 + 0 -2 + 4k = 26 Add '2' to each side of the equation. -2 + 2 + 4k = 26 + 2 Combine like terms: -2 + 2 = 0 0 + 4k = 26 + 2 4k = 26 + 2 Combine like terms: 26 + 2 = 28 4k = 28 Divide each side by '4'. k = 7 Simplifying k = 7
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