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Simplifying 138.048 = -9.6(-6.9 + k) 138.048 = (-6.9 * -9.6 + k * -9.6) 138.048 = (66.24 + -9.6k) Solving 138.048 = 66.24 + -9.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9.6k' to each side of the equation. 138.048 + 9.6k = 66.24 + -9.6k + 9.6k Combine like terms: -9.6k + 9.6k = 0.0 138.048 + 9.6k = 66.24 + 0.0 138.048 + 9.6k = 66.24 Add '-138.048' to each side of the equation. 138.048 + -138.048 + 9.6k = 66.24 + -138.048 Combine like terms: 138.048 + -138.048 = 0.000 0.000 + 9.6k = 66.24 + -138.048 9.6k = 66.24 + -138.048 Combine like terms: 66.24 + -138.048 = -71.808 9.6k = -71.808 Divide each side by '9.6'. k = -7.48 Simplifying k = -7.48
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