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Simplifying 3.2k + -4.3 = 12.6k + 24.5 Reorder the terms: -4.3 + 3.2k = 12.6k + 24.5 Reorder the terms: -4.3 + 3.2k = 24.5 + 12.6k Solving -4.3 + 3.2k = 24.5 + 12.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12.6k' to each side of the equation. -4.3 + 3.2k + -12.6k = 24.5 + 12.6k + -12.6k Combine like terms: 3.2k + -12.6k = -9.4k -4.3 + -9.4k = 24.5 + 12.6k + -12.6k Combine like terms: 12.6k + -12.6k = 0.0 -4.3 + -9.4k = 24.5 + 0.0 -4.3 + -9.4k = 24.5 Add '4.3' to each side of the equation. -4.3 + 4.3 + -9.4k = 24.5 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + -9.4k = 24.5 + 4.3 -9.4k = 24.5 + 4.3 Combine like terms: 24.5 + 4.3 = 28.8 -9.4k = 28.8 Divide each side by '-9.4'. k = -3.063829787 Simplifying k = -3.063829787
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