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Simplifying 0.8 + 0.8k = -0.6 + 0.9 Combine like terms: -0.6 + 0.9 = 0.3 0.8 + 0.8k = 0.3 Solving 0.8 + 0.8k = 0.3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.8k = 0.3 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.8k = 0.3 + -0.8 0.8k = 0.3 + -0.8 Combine like terms: 0.3 + -0.8 = -0.5 0.8k = -0.5 Divide each side by '0.8'. k = -0.625 Simplifying k = -0.625
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