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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 = 5.2 5.2k = 5.2 Divide each side by '5.2'. k = 1 Simplifying k = 1
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