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Simplifying 9.1 + -7.5k = -5.7 Solving 9.1 + -7.5k = -5.7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9.1' to each side of the equation. 9.1 + -9.1 + -7.5k = -5.7 + -9.1 Combine like terms: 9.1 + -9.1 = 0.0 0.0 + -7.5k = -5.7 + -9.1 -7.5k = -5.7 + -9.1 Combine like terms: -5.7 + -9.1 = -14.8 -7.5k = -14.8 Divide each side by '-7.5'. k = 1.973333333 Simplifying k = 1.973333333
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