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Simplifying 8.4k + 6 = 11.4 + -2 Reorder the terms: 6 + 8.4k = 11.4 + -2 Combine like terms: 11.4 + -2 = 9.4 6 + 8.4k = 9.4 Solving 6 + 8.4k = 9.4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 8.4k = 9.4 + -6 Combine like terms: 6 + -6 = 0 0 + 8.4k = 9.4 + -6 8.4k = 9.4 + -6 Combine like terms: 9.4 + -6 = 3.4 8.4k = 3.4 Divide each side by '8.4'. k = 0.4047619048 Simplifying k = 0.4047619048
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