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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 = 42 14k = 42 Divide each side by '14'. k = 3 Simplifying k = 3
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