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Simplifying -3.5(6k + 9.5) = 30.5 Reorder the terms: -3.5(9.5 + 6k) = 30.5 (9.5 * -3.5 + 6k * -3.5) = 30.5 (-33.25 + -21k) = 30.5 Solving -33.25 + -21k = 30.5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '33.25' to each side of the equation. -33.25 + 33.25 + -21k = 30.5 + 33.25 Combine like terms: -33.25 + 33.25 = 0.00 0.00 + -21k = 30.5 + 33.25 -21k = 30.5 + 33.25 Combine like terms: 30.5 + 33.25 = 63.75 -21k = 63.75 Divide each side by '-21'. k = -3.035714286 Simplifying k = -3.035714286
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