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Simplifying 0.6k + -0.3 = 0.5k + 0.4 Reorder the terms: -0.3 + 0.6k = 0.5k + 0.4 Reorder the terms: -0.3 + 0.6k = 0.4 + 0.5k Solving -0.3 + 0.6k = 0.4 + 0.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.5k' to each side of the equation. -0.3 + 0.6k + -0.5k = 0.4 + 0.5k + -0.5k Combine like terms: 0.6k + -0.5k = 0.1k -0.3 + 0.1k = 0.4 + 0.5k + -0.5k Combine like terms: 0.5k + -0.5k = 0.0 -0.3 + 0.1k = 0.4 + 0.0 -0.3 + 0.1k = 0.4 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.1k = 0.4 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.1k = 0.4 + 0.3 0.1k = 0.4 + 0.3 Combine like terms: 0.4 + 0.3 = 0.7 0.1k = 0.7 Divide each side by '0.1'. k = 7 Simplifying k = 7
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