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Simplifying 8.4k + 6 = 20.4k + -2 Reorder the terms: 6 + 8.4k = 20.4k + -2 Reorder the terms: 6 + 8.4k = -2 + 20.4k Solving 6 + 8.4k = -2 + 20.4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20.4k' to each side of the equation. 6 + 8.4k + -20.4k = -2 + 20.4k + -20.4k Combine like terms: 8.4k + -20.4k = -12k 6 + -12k = -2 + 20.4k + -20.4k Combine like terms: 20.4k + -20.4k = 0.0 6 + -12k = -2 + 0.0 6 + -12k = -2 Add '-6' to each side of the equation. 6 + -6 + -12k = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -12k = -2 + -6 -12k = -2 + -6 Combine like terms: -2 + -6 = -8 -12k = -8 Divide each side by '-12'. k = 0.6666666667 Simplifying k = 0.6666666667
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