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Simplifying 0.9 = 0.16k Solving 0.9 = 0.16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.16k' to each side of the equation. 0.9 + -0.16k = 0.16k + -0.16k Combine like terms: 0.16k + -0.16k = 0.00 0.9 + -0.16k = 0.00 Add '-0.9' to each side of the equation. 0.9 + -0.9 + -0.16k = 0.00 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -0.16k = 0.00 + -0.9 -0.16k = 0.00 + -0.9 Combine like terms: 0.00 + -0.9 = -0.9 -0.16k = -0.9 Divide each side by '-0.16'. k = 5.625 Simplifying k = 5.625
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