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Simplifying (3 + -7k) * 0.2 = 0 Reorder the terms for easier multiplication: 0.2(3 + -7k) = 0 (3 * 0.2 + -7k * 0.2) = 0 (0.6 + -1.4k) = 0 Solving 0.6 + -1.4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + -1.4k = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -1.4k = 0 + -0.6 -1.4k = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 -1.4k = -0.6 Divide each side by '-1.4'. k = 0.4285714286 Simplifying k = 0.4285714286
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