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Simplifying -9 + 7(2k + 8) = 0 Reorder the terms: -9 + 7(8 + 2k) = 0 -9 + (8 * 7 + 2k * 7) = 0 -9 + (56 + 14k) = 0 Combine like terms: -9 + 56 = 47 47 + 14k = 0 Solving 47 + 14k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 14k = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 14k = 0 + -47 14k = 0 + -47 Combine like terms: 0 + -47 = -47 14k = -47 Divide each side by '14'. k = -3.357142857 Simplifying k = -3.357142857
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