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Simplifying 0 = 4(2 + 4k) + (7k + 1) 0 = (2 * 4 + 4k * 4) + (7k + 1) 0 = (8 + 16k) + (7k + 1) Reorder the terms: 0 = 8 + 16k + (1 + 7k) Remove parenthesis around (1 + 7k) 0 = 8 + 16k + 1 + 7k Reorder the terms: 0 = 8 + 1 + 16k + 7k Combine like terms: 8 + 1 = 9 0 = 9 + 16k + 7k Combine like terms: 16k + 7k = 23k 0 = 9 + 23k Solving 0 = 9 + 23k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-23k' to each side of the equation. 0 + -23k = 9 + 23k + -23k Remove the zero: -23k = 9 + 23k + -23k Combine like terms: 23k + -23k = 0 -23k = 9 + 0 -23k = 9 Divide each side by '-23'. k = -0.3913043478 Simplifying k = -0.3913043478
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