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Simplifying 0.2(k + 2.4) = 3.2 Reorder the terms: 0.2(2.4 + k) = 3.2 (2.4 * 0.2 + k * 0.2) = 3.2 (0.48 + 0.2k) = 3.2 Solving 0.48 + 0.2k = 3.2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.48' to each side of the equation. 0.48 + -0.48 + 0.2k = 3.2 + -0.48 Combine like terms: 0.48 + -0.48 = 0.00 0.00 + 0.2k = 3.2 + -0.48 0.2k = 3.2 + -0.48 Combine like terms: 3.2 + -0.48 = 2.72 0.2k = 2.72 Divide each side by '0.2'. k = 13.6 Simplifying k = 13.6
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