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Simplifying 0 = (7k + 5) + 9k Reorder the terms: 0 = (5 + 7k) + 9k Remove parenthesis around (5 + 7k) 0 = 5 + 7k + 9k Combine like terms: 7k + 9k = 16k 0 = 5 + 16k Solving 0 = 5 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. 0 + -16k = 5 + 16k + -16k Remove the zero: -16k = 5 + 16k + -16k Combine like terms: 16k + -16k = 0 -16k = 5 + 0 -16k = 5 Divide each side by '-16'. k = -0.3125 Simplifying k = -0.3125
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