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Simplifying 15.3 = (-7.5k) + 55.2 Reorder the terms: 15.3 = 55.2 + (-7.5k) Solving 15.3 = 55.2 + (-7.5k) Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '(7.5k)' to each side of the equation. 15.3 + (7.5k) = 55.2 + (-7.5k) + (7.5k) Combine like terms: (-7.5k) + (7.5k) = 0.0 15.3 + (7.5k) = 55.2 + 0.0 15.3 + (7.5k) = 55.2 Add '-15.3' to each side of the equation. 15.3 + -15.3 + (7.5k) = 55.2 + -15.3 Combine like terms: 15.3 + -15.3 = 0.0 0.0 + (7.5k) = 55.2 + -15.3 (7.5k) = 55.2 + -15.3 Combine like terms: 55.2 + -15.3 = 39.9 (7.5k) = 39.9 Divide each side by '7.5'. k = 5.32 Simplifying k = 5.32
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