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Simplifying 0.6k + 44 = 0.49k + 8 Reorder the terms: 44 + 0.6k = 0.49k + 8 Reorder the terms: 44 + 0.6k = 8 + 0.49k Solving 44 + 0.6k = 8 + 0.49k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.49k' to each side of the equation. 44 + 0.6k + -0.49k = 8 + 0.49k + -0.49k Combine like terms: 0.6k + -0.49k = 0.11k 44 + 0.11k = 8 + 0.49k + -0.49k Combine like terms: 0.49k + -0.49k = 0.00 44 + 0.11k = 8 + 0.00 44 + 0.11k = 8 Add '-44' to each side of the equation. 44 + -44 + 0.11k = 8 + -44 Combine like terms: 44 + -44 = 0 0 + 0.11k = 8 + -44 0.11k = 8 + -44 Combine like terms: 8 + -44 = -36 0.11k = -36 Divide each side by '0.11'. k = -327.2727273 Simplifying k = -327.2727273
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