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Simplifying -2(-7k + 5) + 9 = -13 Reorder the terms: -2(5 + -7k) + 9 = -13 (5 * -2 + -7k * -2) + 9 = -13 (-10 + 14k) + 9 = -13 Reorder the terms: -10 + 9 + 14k = -13 Combine like terms: -10 + 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 = -12 14k = -12 Divide each side by '14'. k = -0.8571428571 Simplifying k = -0.8571428571
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