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Simplifying 5 + 7(2k + 4) = 0 Reorder the terms: 5 + 7(4 + 2k) = 0 5 + (4 * 7 + 2k * 7) = 0 5 + (28 + 14k) = 0 Combine like terms: 5 + 28 = 33 33 + 14k = 0 Solving 33 + 14k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 14k = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 14k = 0 + -33 14k = 0 + -33 Combine like terms: 0 + -33 = -33 14k = -33 Divide each side by '14'. k = -2.357142857 Simplifying k = -2.357142857
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