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Simplifying 3.2k + -4.3 = 2.6k + 14.5 Reorder the terms: -4.3 + 3.2k = 2.6k + 14.5 Reorder the terms: -4.3 + 3.2k = 14.5 + 2.6k Solving -4.3 + 3.2k = 14.5 + 2.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.6k' to each side of the equation. -4.3 + 3.2k + -2.6k = 14.5 + 2.6k + -2.6k Combine like terms: 3.2k + -2.6k = 0.6k -4.3 + 0.6k = 14.5 + 2.6k + -2.6k Combine like terms: 2.6k + -2.6k = 0.0 -4.3 + 0.6k = 14.5 + 0.0 -4.3 + 0.6k = 14.5 Add '4.3' to each side of the equation. -4.3 + 4.3 + 0.6k = 14.5 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + 0.6k = 14.5 + 4.3 0.6k = 14.5 + 4.3 Combine like terms: 14.5 + 4.3 = 18.8 0.6k = 18.8 Divide each side by '0.6'. k = 31.33333333 Simplifying k = 31.33333333
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