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Simplifying -2(7k + 4) + 9 = 32 Reorder the terms: -2(4 + 7k) + 9 = 32 (4 * -2 + 7k * -2) + 9 = 32 (-8 + -14k) + 9 = 32 Reorder the terms: -8 + 9 + -14k = 32 Combine like terms: -8 + 9 = 1 1 + -14k = 32 Solving 1 + -14k = 32 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 = 32 + -1 Combine like terms: 1 + -1 = 0 0 + -14k = 32 + -1 -14k = 32 + -1 Combine like terms: 32 + -1 = 31 -14k = 31 Divide each side by '-14'. k = -2.214285714 Simplifying k = -2.214285714
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