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Simplifying 0.40k + 0.06(30) = 9.8 Multiply 0.06 * 30 0.40k + 1.8 = 9.8 Reorder the terms: 1.8 + 0.40k = 9.8 Solving 1.8 + 0.40k = 9.8 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 + 0.40k = 9.8 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 0.40k = 9.8 + -1.8 0.40k = 9.8 + -1.8 Combine like terms: 9.8 + -1.8 = 8 0.40k = 8 Divide each side by '0.40'. k = 20 Simplifying k = 20
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