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Simplifying -2(-7k + -5) = 32 Reorder the terms: -2(-5 + -7k) = 32 (-5 * -2 + -7k * -2) = 32 (10 + 14k) = 32 Solving 10 + 14k = 32 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 14k = 32 + -10 Combine like terms: 10 + -10 = 0 0 + 14k = 32 + -10 14k = 32 + -10 Combine like terms: 32 + -10 = 22 14k = 22 Divide each side by '14'. k = 1.571428571 Simplifying k = 1.571428571
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