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Simplifying 9k + -1(7k + -16) = 0 Reorder the terms: 9k + -1(-16 + 7k) = 0 9k + (-16 * -1 + 7k * -1) = 0 9k + (16 + -7k) = 0 Reorder the terms: 16 + 9k + -7k = 0 Combine like terms: 9k + -7k = 2k 16 + 2k = 0 Solving 16 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 2k = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 2k = 0 + -16 2k = 0 + -16 Combine like terms: 0 + -16 = -16 2k = -16 Divide each side by '2'. k = -8 Simplifying k = -8
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