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Simplifying -15.3 = -7.5k + 55.1 Reorder the terms: -15.3 = 55.1 + -7.5k Solving -15.3 = 55.1 + -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 = 55.1 + -7.5k + 7.5k Combine like terms: -7.5k + 7.5k = 0.0 -15.3 + 7.5k = 55.1 + 0.0 -15.3 + 7.5k = 55.1 Add '15.3' to each side of the equation. -15.3 + 15.3 + 7.5k = 55.1 + 15.3 Combine like terms: -15.3 + 15.3 = 0.0 0.0 + 7.5k = 55.1 + 15.3 7.5k = 55.1 + 15.3 Combine like terms: 55.1 + 15.3 = 70.4 7.5k = 70.4 Divide each side by '7.5'. k = 9.386666667 Simplifying k = 9.386666667
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