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Simplifying 12.3k + 73.8 = 24.6k + 147.6 Reorder the terms: 73.8 + 12.3k = 24.6k + 147.6 Reorder the terms: 73.8 + 12.3k = 147.6 + 24.6k Solving 73.8 + 12.3k = 147.6 + 24.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24.6k' to each side of the equation. 73.8 + 12.3k + -24.6k = 147.6 + 24.6k + -24.6k Combine like terms: 12.3k + -24.6k = -12.3k 73.8 + -12.3k = 147.6 + 24.6k + -24.6k Combine like terms: 24.6k + -24.6k = 0.0 73.8 + -12.3k = 147.6 + 0.0 73.8 + -12.3k = 147.6 Add '-73.8' to each side of the equation. 73.8 + -73.8 + -12.3k = 147.6 + -73.8 Combine like terms: 73.8 + -73.8 = 0.0 0.0 + -12.3k = 147.6 + -73.8 -12.3k = 147.6 + -73.8 Combine like terms: 147.6 + -73.8 = 73.8 -12.3k = 73.8 Divide each side by '-12.3'. k = -6 Simplifying k = -6
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