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Simplifying 2(-7k + 4) + 9 = -13 Reorder the terms: 2(4 + -7k) + 9 = -13 (4 * 2 + -7k * 2) + 9 = -13 (8 + -14k) + 9 = -13 Reorder the terms: 8 + 9 + -14k = -13 Combine like terms: 8 + 9 = 17 17 + -14k = -13 Solving 17 + -14k = -13 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -14k = -13 + -17 Combine like terms: 17 + -17 = 0 0 + -14k = -13 + -17 -14k = -13 + -17 Combine like terms: -13 + -17 = -30 -14k = -30 Divide each side by '-14'. k = 2.142857143 Simplifying k = 2.142857143
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