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Simplifying 5.2(k + 4) = -26 Reorder the terms: 5.2(4 + k) = -26 (4 * 5.2 + k * 5.2) = -26 (20.8 + 5.2k) = -26 Solving 20.8 + 5.2k = -26 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20.8' to each side of the equation. 20.8 + -20.8 + 5.2k = -26 + -20.8 Combine like terms: 20.8 + -20.8 = 0.0 0.0 + 5.2k = -26 + -20.8 5.2k = -26 + -20.8 Combine like terms: -26 + -20.8 = -46.8 5.2k = -46.8 Divide each side by '5.2'. k = -9 Simplifying k = -9
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