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Simplifying -2 + 7(1 + -8k) = 26 -2 + (1 * 7 + -8k * 7) = 26 -2 + (7 + -56k) = 26 Combine like terms: -2 + 7 = 5 5 + -56k = 26 Solving 5 + -56k = 26 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -56k = 26 + -5 Combine like terms: 5 + -5 = 0 0 + -56k = 26 + -5 -56k = 26 + -5 Combine like terms: 26 + -5 = 21 -56k = 21 Divide each side by '-56'. k = -0.375 Simplifying k = -0.375
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