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Simplifying 0.2k + -8 = 0.6k + 2 Reorder the terms: -8 + 0.2k = 0.6k + 2 Reorder the terms: -8 + 0.2k = 2 + 0.6k Solving -8 + 0.2k = 2 + 0.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.6k' to each side of the equation. -8 + 0.2k + -0.6k = 2 + 0.6k + -0.6k Combine like terms: 0.2k + -0.6k = -0.4k -8 + -0.4k = 2 + 0.6k + -0.6k Combine like terms: 0.6k + -0.6k = 0.0 -8 + -0.4k = 2 + 0.0 -8 + -0.4k = 2 Add '8' to each side of the equation. -8 + 8 + -0.4k = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -0.4k = 2 + 8 -0.4k = 2 + 8 Combine like terms: 2 + 8 = 10 -0.4k = 10 Divide each side by '-0.4'. k = -25 Simplifying k = -25
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