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Simplifying -6.3(4.38k + -6.9) + -3.6 = -133.9722 Reorder the terms: -6.3(-6.9 + 4.38k) + -3.6 = -133.9722 (-6.9 * -6.3 + 4.38k * -6.3) + -3.6 = -133.9722 (43.47 + -27.594k) + -3.6 = -133.9722 Reorder the terms: 43.47 + -3.6 + -27.594k = -133.9722 Combine like terms: 43.47 + -3.6 = 39.87 39.87 + -27.594k = -133.9722 Solving 39.87 + -27.594k = -133.9722 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-39.87' to each side of the equation. 39.87 + -39.87 + -27.594k = -133.9722 + -39.87 Combine like terms: 39.87 + -39.87 = 0.00 0.00 + -27.594k = -133.9722 + -39.87 -27.594k = -133.9722 + -39.87 Combine like terms: -133.9722 + -39.87 = -173.8422 -27.594k = -173.8422 Divide each side by '-27.594'. k = 6.3 Simplifying k = 6.3
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