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Simplifying -0.3k + 2.1 = 0.4k Reorder the terms: 2.1 + -0.3k = 0.4k Solving 2.1 + -0.3k = 0.4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.4k' to each side of the equation. 2.1 + -0.3k + -0.4k = 0.4k + -0.4k Combine like terms: -0.3k + -0.4k = -0.7k 2.1 + -0.7k = 0.4k + -0.4k Combine like terms: 0.4k + -0.4k = 0.0 2.1 + -0.7k = 0.0 Add '-2.1' to each side of the equation. 2.1 + -2.1 + -0.7k = 0.0 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -0.7k = 0.0 + -2.1 -0.7k = 0.0 + -2.1 Combine like terms: 0.0 + -2.1 = -2.1 -0.7k = -2.1 Divide each side by '-0.7'. k = 3 Simplifying k = 3
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