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Simplifying -5k + -2(k + -7) = 0 Reorder the terms: -5k + -2(-7 + k) = 0 -5k + (-7 * -2 + k * -2) = 0 -5k + (14 + -2k) = 0 Reorder the terms: 14 + -5k + -2k = 0 Combine like terms: -5k + -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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