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Simplifying -7k + 5.2 + -4.8k + 1.3k + 5 = 0 Reorder the terms: 5.2 + 5 + -7k + -4.8k + 1.3k = 0 Combine like terms: 5.2 + 5 = 10.2 10.2 + -7k + -4.8k + 1.3k = 0 Combine like terms: -7k + -4.8k = -11.8k 10.2 + -11.8k + 1.3k = 0 Combine like terms: -11.8k + 1.3k = -10.5k 10.2 + -10.5k = 0 Solving 10.2 + -10.5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10.2' to each side of the equation. 10.2 + -10.2 + -10.5k = 0 + -10.2 Combine like terms: 10.2 + -10.2 = 0.0 0.0 + -10.5k = 0 + -10.2 -10.5k = 0 + -10.2 Combine like terms: 0 + -10.2 = -10.2 -10.5k = -10.2 Divide each side by '-10.5'. k = 0.9714285714 Simplifying k = 0.9714285714
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