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Simplifying 0.6k + 44 = 0.48k + 8 Reorder the terms: 44 + 0.6k = 0.48k + 8 Reorder the terms: 44 + 0.6k = 8 + 0.48k Solving 44 + 0.6k = 8 + 0.48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.48k' to each side of the equation. 44 + 0.6k + -0.48k = 8 + 0.48k + -0.48k Combine like terms: 0.6k + -0.48k = 0.12k 44 + 0.12k = 8 + 0.48k + -0.48k Combine like terms: 0.48k + -0.48k = 0.00 44 + 0.12k = 8 + 0.00 44 + 0.12k = 8 Add '-44' to each side of the equation. 44 + -44 + 0.12k = 8 + -44 Combine like terms: 44 + -44 = 0 0 + 0.12k = 8 + -44 0.12k = 8 + -44 Combine like terms: 8 + -44 = -36 0.12k = -36 Divide each side by '0.12'. k = -300 Simplifying k = -300
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