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Simplifying 12k + 2.1 + -5.2k + -3.4 = 0 Reorder the terms: 2.1 + -3.4 + 12k + -5.2k = 0 Combine like terms: 2.1 + -3.4 = -1.3 -1.3 + 12k + -5.2k = 0 Combine like terms: 12k + -5.2k = 6.8k -1.3 + 6.8k = 0 Solving -1.3 + 6.8k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.3' to each side of the equation. -1.3 + 1.3 + 6.8k = 0 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + 6.8k = 0 + 1.3 6.8k = 0 + 1.3 Combine like terms: 0 + 1.3 = 1.3 6.8k = 1.3 Divide each side by '6.8'. k = 0.1911764706 Simplifying k = 0.1911764706
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