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Simplifying k * 2 + -19k + -100 = 0 Reorder the terms for easier multiplication: 2k + -19k + -100 = 0 Reorder the terms: -100 + 2k + -19k = 0 Combine like terms: 2k + -19k = -17k -100 + -17k = 0 Solving -100 + -17k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + -17k = 0 + 100 Combine like terms: -100 + 100 = 0 0 + -17k = 0 + 100 -17k = 0 + 100 Combine like terms: 0 + 100 = 100 -17k = 100 Divide each side by '-17'. k = -5.882352941 Simplifying k = -5.882352941
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