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Simplifying 0.5(0.00342 + -0.004k) * 5 * 5 = 0 Reorder the terms for easier multiplication: 0.5 * 5 * 5(0.00342 + -0.004k) = 0 Multiply 0.5 * 5 2.5 * 5(0.00342 + -0.004k) = 0 Multiply 2.5 * 5 12.5(0.00342 + -0.004k) = 0 (0.00342 * 12.5 + -0.004k * 12.5) = 0 (0.04275 + -0.05k) = 0 Solving 0.04275 + -0.05k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.04275' to each side of the equation. 0.04275 + -0.04275 + -0.05k = 0 + -0.04275 Combine like terms: 0.04275 + -0.04275 = 0.00000 0.00000 + -0.05k = 0 + -0.04275 -0.05k = 0 + -0.04275 Combine like terms: 0 + -0.04275 = -0.04275 -0.05k = -0.04275 Divide each side by '-0.05'. k = 0.855 Simplifying k = 0.855
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