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Simplifying -5.8(k + 5.8) = 44.08 Reorder the terms: -5.8(5.8 + k) = 44.08 (5.8 * -5.8 + k * -5.8) = 44.08 (-33.64 + -5.8k) = 44.08 Solving -33.64 + -5.8k = 44.08 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '33.64' to each side of the equation. -33.64 + 33.64 + -5.8k = 44.08 + 33.64 Combine like terms: -33.64 + 33.64 = 0.00 0.00 + -5.8k = 44.08 + 33.64 -5.8k = 44.08 + 33.64 Combine like terms: 44.08 + 33.64 = 77.72 -5.8k = 77.72 Divide each side by '-5.8'. k = -13.4 Simplifying k = -13.4
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