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Simplifying 3.05 = 0.4k + -1.75 Reorder the terms: 3.05 = -1.75 + 0.4k Solving 3.05 = -1.75 + 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. 3.05 + -0.4k = -1.75 + 0.4k + -0.4k Combine like terms: 0.4k + -0.4k = 0.0 3.05 + -0.4k = -1.75 + 0.0 3.05 + -0.4k = -1.75 Add '-3.05' to each side of the equation. 3.05 + -3.05 + -0.4k = -1.75 + -3.05 Combine like terms: 3.05 + -3.05 = 0.00 0.00 + -0.4k = -1.75 + -3.05 -0.4k = -1.75 + -3.05 Combine like terms: -1.75 + -3.05 = -4.8 -0.4k = -4.8 Divide each side by '-0.4'. k = 12 Simplifying k = 12
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