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Simplifying 7k + -1(4k + -39) = 0 Reorder the terms: 7k + -1(-39 + 4k) = 0 7k + (-39 * -1 + 4k * -1) = 0 7k + (39 + -4k) = 0 Reorder the terms: 39 + 7k + -4k = 0 Combine like terms: 7k + -4k = 3k 39 + 3k = 0 Solving 39 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 3k = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 3k = 0 + -39 3k = 0 + -39 Combine like terms: 0 + -39 = -39 3k = -39 Divide each side by '3'. k = -13 Simplifying k = -13
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