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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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