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Simplifying -2(4 + -7k) + 9 = -13 (4 * -2 + -7k * -2) + 9 = -13 (-8 + 14k) + 9 = -13 Reorder the terms: -8 + 9 + 14k = -13 Combine like terms: -8 + 9 = 1 1 + 14k = -13 Solving 1 + 14k = -13 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 14k = -13 + -1 Combine like terms: 1 + -1 = 0 0 + 14k = -13 + -1 14k = -13 + -1 Combine like terms: -13 + -1 = -14 14k = -14 Divide each side by '14'. k = -1 Simplifying k = -1
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