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Simplifying 0.8 + -0.8k = 0.6k + 0.9 Reorder the terms: 0.8 + -0.8k = 0.9 + 0.6k Solving 0.8 + -0.8k = 0.9 + 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. 0.8 + -0.8k + -0.6k = 0.9 + 0.6k + -0.6k Combine like terms: -0.8k + -0.6k = -1.4k 0.8 + -1.4k = 0.9 + 0.6k + -0.6k Combine like terms: 0.6k + -0.6k = 0.0 0.8 + -1.4k = 0.9 + 0.0 0.8 + -1.4k = 0.9 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -1.4k = 0.9 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -1.4k = 0.9 + -0.8 -1.4k = 0.9 + -0.8 Combine like terms: 0.9 + -0.8 = 0.1 -1.4k = 0.1 Divide each side by '-1.4'. k = -0.07142857143 Simplifying k = -0.07142857143
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