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Simplifying 2k + 4.3 + 0.7k + 4.7k + -2 = 0 Reorder the terms: 4.3 + -2 + 2k + 0.7k + 4.7k = 0 Combine like terms: 4.3 + -2 = 2.3 2.3 + 2k + 0.7k + 4.7k = 0 Combine like terms: 2k + 0.7k = 2.7k 2.3 + 2.7k + 4.7k = 0 Combine like terms: 2.7k + 4.7k = 7.4k 2.3 + 7.4k = 0 Solving 2.3 + 7.4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.3' to each side of the equation. 2.3 + -2.3 + 7.4k = 0 + -2.3 Combine like terms: 2.3 + -2.3 = 0.0 0.0 + 7.4k = 0 + -2.3 7.4k = 0 + -2.3 Combine like terms: 0 + -2.3 = -2.3 7.4k = -2.3 Divide each side by '7.4'. k = -0.3108108108 Simplifying k = -0.3108108108
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