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Simplifying 0.4(3k + -0.6) = 0 Reorder the terms: 0.4(-0.6 + 3k) = 0 (-0.6 * 0.4 + 3k * 0.4) = 0 (-0.24 + 1.2k) = 0 Solving -0.24 + 1.2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.24' to each side of the equation. -0.24 + 0.24 + 1.2k = 0 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 1.2k = 0 + 0.24 1.2k = 0 + 0.24 Combine like terms: 0 + 0.24 = 0.24 1.2k = 0.24 Divide each side by '1.2'. k = 0.2 Simplifying k = 0.2
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