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Simplifying 0.6k + 0.7 = 0.73k + -0.4 Reorder the terms: 0.7 + 0.6k = 0.73k + -0.4 Reorder the terms: 0.7 + 0.6k = -0.4 + 0.73k Solving 0.7 + 0.6k = -0.4 + 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. 0.7 + 0.6k + -0.73k = -0.4 + 0.73k + -0.73k Combine like terms: 0.6k + -0.73k = -0.13k 0.7 + -0.13k = -0.4 + 0.73k + -0.73k Combine like terms: 0.73k + -0.73k = 0.00 0.7 + -0.13k = -0.4 + 0.00 0.7 + -0.13k = -0.4 Add '-0.7' to each side of the equation. 0.7 + -0.7 + -0.13k = -0.4 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -0.13k = -0.4 + -0.7 -0.13k = -0.4 + -0.7 Combine like terms: -0.4 + -0.7 = -1.1 -0.13k = -1.1 Divide each side by '-0.13'. k = 8.461538462 Simplifying k = 8.461538462
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