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Simplifying 7k + -1(4k + -14) = 0 Reorder the terms: 7k + -1(-14 + 4k) = 0 7k + (-14 * -1 + 4k * -1) = 0 7k + (14 + -4k) = 0 Reorder the terms: 14 + 7k + -4k = 0 Combine like terms: 7k + -4k = 3k 14 + 3k = 0 Solving 14 + 3k = 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 + 3k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3k = 0 + -14 3k = 0 + -14 Combine like terms: 0 + -14 = -14 3k = -14 Divide each side by '3'. k = -4.666666667 Simplifying k = -4.666666667
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