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Simplifying -6.4 = -2.8(4K + 3) Reorder the terms: -6.4 = -2.8(3 + 4K) -6.4 = (3 * -2.8 + 4K * -2.8) -6.4 = (-8.4 + -11.2K) Solving -6.4 = -8.4 + -11.2K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '11.2K' to each side of the equation. -6.4 + 11.2K = -8.4 + -11.2K + 11.2K Combine like terms: -11.2K + 11.2K = 0.0 -6.4 + 11.2K = -8.4 + 0.0 -6.4 + 11.2K = -8.4 Add '6.4' to each side of the equation. -6.4 + 6.4 + 11.2K = -8.4 + 6.4 Combine like terms: -6.4 + 6.4 = 0.0 0.0 + 11.2K = -8.4 + 6.4 11.2K = -8.4 + 6.4 Combine like terms: -8.4 + 6.4 = -2 11.2K = -2 Divide each side by '11.2'. K = -0.1785714286 Simplifying K = -0.1785714286
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