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Simplifying 7k + -16k + 100 = 0 Reorder the terms: 100 + 7k + -16k = 0 Combine like terms: 7k + -16k = -9k 100 + -9k = 0 Solving 100 + -9k = 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 + -9k = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -9k = 0 + -100 -9k = 0 + -100 Combine like terms: 0 + -100 = -100 -9k = -100 Divide each side by '-9'. k = 11.11111111 Simplifying k = 11.11111111
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