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Simplifying 12 + -1(9k + -7) + 2k = 0 Reorder the terms: 12 + -1(-7 + 9k) + 2k = 0 12 + (-7 * -1 + 9k * -1) + 2k = 0 12 + (7 + -9k) + 2k = 0 Combine like terms: 12 + 7 = 19 19 + -9k + 2k = 0 Combine like terms: -9k + 2k = -7k 19 + -7k = 0 Solving 19 + -7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -7k = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -7k = 0 + -19 -7k = 0 + -19 Combine like terms: 0 + -19 = -19 -7k = -19 Divide each side by '-7'. k = 2.714285714 Simplifying k = 2.714285714
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