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Simplifying 47.90 = 0.045k + 6.5 Reorder the terms: 47.90 = 6.5 + 0.045k Solving 47.90 = 6.5 + 0.045k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.045k' to each side of the equation. 47.90 + -0.045k = 6.5 + 0.045k + -0.045k Combine like terms: 0.045k + -0.045k = 0.000 47.90 + -0.045k = 6.5 + 0.000 47.90 + -0.045k = 6.5 Add '-47.90' to each side of the equation. 47.90 + -47.90 + -0.045k = 6.5 + -47.90 Combine like terms: 47.90 + -47.90 = 0.00 0.00 + -0.045k = 6.5 + -47.90 -0.045k = 6.5 + -47.90 Combine like terms: 6.5 + -47.90 = -41.4 -0.045k = -41.4 Divide each side by '-0.045'. k = 920 Simplifying k = 920
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