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Simplifying 0.14285714k + -6 = 0.42857143k + 4 Reorder the terms: -6 + 0.14285714k = 0.42857143k + 4 Reorder the terms: -6 + 0.14285714k = 4 + 0.42857143k Solving -6 + 0.14285714k = 4 + 0.42857143k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.42857143k' to each side of the equation. -6 + 0.14285714k + -0.42857143k = 4 + 0.42857143k + -0.42857143k Combine like terms: 0.14285714k + -0.42857143k = -0.28571429k -6 + -0.28571429k = 4 + 0.42857143k + -0.42857143k Combine like terms: 0.42857143k + -0.42857143k = 0.00000000 -6 + -0.28571429k = 4 + 0.00000000 -6 + -0.28571429k = 4 Add '6' to each side of the equation. -6 + 6 + -0.28571429k = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -0.28571429k = 4 + 6 -0.28571429k = 4 + 6 Combine like terms: 4 + 6 = 10 -0.28571429k = 10 Divide each side by '-0.28571429'. k = -34.99999948 Simplifying k = -34.99999948
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