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Simplifying 0.60k + 0.70 = 0.73k + -0.40 Reorder the terms: 0.70 + 0.60k = 0.73k + -0.40 Reorder the terms: 0.70 + 0.60k = -0.40 + 0.73k Solving 0.70 + 0.60k = -0.40 + 0.73k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.73k' to each side of the equation. 0.70 + 0.60k + -0.73k = -0.40 + 0.73k + -0.73k Combine like terms: 0.60k + -0.73k = -0.13k 0.70 + -0.13k = -0.40 + 0.73k + -0.73k Combine like terms: 0.73k + -0.73k = 0.00 0.70 + -0.13k = -0.40 + 0.00 0.70 + -0.13k = -0.40 Add '-0.70' to each side of the equation. 0.70 + -0.70 + -0.13k = -0.40 + -0.70 Combine like terms: 0.70 + -0.70 = 0.00 0.00 + -0.13k = -0.40 + -0.70 -0.13k = -0.40 + -0.70 Combine like terms: -0.40 + -0.70 = -1.1 -0.13k = -1.1 Divide each side by '-0.13'. k = 8.461538462 Simplifying k = 8.461538462
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