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Simplifying 3.2k + -4.3 = 12.3k + 14.5 Reorder the terms: -4.3 + 3.2k = 12.3k + 14.5 Reorder the terms: -4.3 + 3.2k = 14.5 + 12.3k Solving -4.3 + 3.2k = 14.5 + 12.3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12.3k' to each side of the equation. -4.3 + 3.2k + -12.3k = 14.5 + 12.3k + -12.3k Combine like terms: 3.2k + -12.3k = -9.1k -4.3 + -9.1k = 14.5 + 12.3k + -12.3k Combine like terms: 12.3k + -12.3k = 0.0 -4.3 + -9.1k = 14.5 + 0.0 -4.3 + -9.1k = 14.5 Add '4.3' to each side of the equation. -4.3 + 4.3 + -9.1k = 14.5 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + -9.1k = 14.5 + 4.3 -9.1k = 14.5 + 4.3 Combine like terms: 14.5 + 4.3 = 18.8 -9.1k = 18.8 Divide each side by '-9.1'. k = -2.065934066 Simplifying k = -2.065934066
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