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Simplifying -9k + -12 + 2(k + -1) = 0 Reorder the terms: -9k + -12 + 2(-1 + k) = 0 -9k + -12 + (-1 * 2 + k * 2) = 0 -9k + -12 + (-2 + 2k) = 0 Reorder the terms: -12 + -2 + -9k + 2k = 0 Combine like terms: -12 + -2 = -14 -14 + -9k + 2k = 0 Combine like terms: -9k + 2k = -7k -14 + -7k = 0 Solving -14 + -7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -7k = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -7k = 0 + 14 -7k = 0 + 14 Combine like terms: 0 + 14 = 14 -7k = 14 Divide each side by '-7'. k = -2 Simplifying k = -2
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