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Simplifying 4.1(-5.1k + -3.8) = 107.95628 Reorder the terms: 4.1(-3.8 + -5.1k) = 107.95628 (-3.8 * 4.1 + -5.1k * 4.1) = 107.95628 (-15.58 + -20.91k) = 107.95628 Solving -15.58 + -20.91k = 107.95628 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15.58' to each side of the equation. -15.58 + 15.58 + -20.91k = 107.95628 + 15.58 Combine like terms: -15.58 + 15.58 = 0.00 0.00 + -20.91k = 107.95628 + 15.58 -20.91k = 107.95628 + 15.58 Combine like terms: 107.95628 + 15.58 = 123.53628 -20.91k = 123.53628 Divide each side by '-20.91'. k = -5.908 Simplifying k = -5.908
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