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Simplifying -5k + -5.5 + -2.9k + 1.2k + 5 = 0 Reorder the terms: -5.5 + 5 + -5k + -2.9k + 1.2k = 0 Combine like terms: -5.5 + 5 = -0.5 -0.5 + -5k + -2.9k + 1.2k = 0 Combine like terms: -5k + -2.9k = -7.9k -0.5 + -7.9k + 1.2k = 0 Combine like terms: -7.9k + 1.2k = -6.7k -0.5 + -6.7k = 0 Solving -0.5 + -6.7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + -6.7k = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -6.7k = 0 + 0.5 -6.7k = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 -6.7k = 0.5 Divide each side by '-6.7'. k = -0.07462686567 Simplifying k = -0.07462686567
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