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Simplifying 1.6 = 0.4k + -3.2 Reorder the terms: 1.6 = -3.2 + 0.4k Solving 1.6 = -3.2 + 0.4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.4k' to each side of the equation. 1.6 + -0.4k = -3.2 + 0.4k + -0.4k Combine like terms: 0.4k + -0.4k = 0.0 1.6 + -0.4k = -3.2 + 0.0 1.6 + -0.4k = -3.2 Add '-1.6' to each side of the equation. 1.6 + -1.6 + -0.4k = -3.2 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -0.4k = -3.2 + -1.6 -0.4k = -3.2 + -1.6 Combine like terms: -3.2 + -1.6 = -4.8 -0.4k = -4.8 Divide each side by '-0.4'. k = 12 Simplifying k = 12
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