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Simplifying -15.4 = 7.5k + 55.2 Reorder the terms: -15.4 = 55.2 + 7.5k Solving -15.4 = 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. -15.4 + -7.5k = 55.2 + 7.5k + -7.5k Combine like terms: 7.5k + -7.5k = 0.0 -15.4 + -7.5k = 55.2 + 0.0 -15.4 + -7.5k = 55.2 Add '15.4' to each side of the equation. -15.4 + 15.4 + -7.5k = 55.2 + 15.4 Combine like terms: -15.4 + 15.4 = 0.0 0.0 + -7.5k = 55.2 + 15.4 -7.5k = 55.2 + 15.4 Combine like terms: 55.2 + 15.4 = 70.6 -7.5k = 70.6 Divide each side by '-7.5'. k = -9.413333333 Simplifying k = -9.413333333
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