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Simplifying 0 = 7(k + 5) + 9k Reorder the terms: 0 = 7(5 + k) + 9k 0 = (5 * 7 + k * 7) + 9k 0 = (35 + 7k) + 9k Combine like terms: 7k + 9k = 16k 0 = 35 + 16k Solving 0 = 35 + 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 = 35 + 16k + -16k Remove the zero: -16k = 35 + 16k + -16k Combine like terms: 16k + -16k = 0 -16k = 35 + 0 -16k = 35 Divide each side by '-16'. k = -2.1875 Simplifying k = -2.1875
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