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Simplifying -0.5 + 0.4k + -1.3 = 1.4 Reorder the terms: -0.5 + -1.3 + 0.4k = 1.4 Combine like terms: -0.5 + -1.3 = -1.8 -1.8 + 0.4k = 1.4 Solving -1.8 + 0.4k = 1.4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.4k = 1.4 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.4k = 1.4 + 1.8 0.4k = 1.4 + 1.8 Combine like terms: 1.4 + 1.8 = 3.2 0.4k = 3.2 Divide each side by '0.4'. k = 8 Simplifying k = 8
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