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Simplifying (9k + 1) * 6 + (4 + 2k) = 0 Reorder the terms: (1 + 9k) * 6 + (4 + 2k) = 0 Reorder the terms for easier multiplication: 6(1 + 9k) + (4 + 2k) = 0 (1 * 6 + 9k * 6) + (4 + 2k) = 0 (6 + 54k) + (4 + 2k) = 0 Remove parenthesis around (4 + 2k) 6 + 54k + 4 + 2k = 0 Reorder the terms: 6 + 4 + 54k + 2k = 0 Combine like terms: 6 + 4 = 10 10 + 54k + 2k = 0 Combine like terms: 54k + 2k = 56k 10 + 56k = 0 Solving 10 + 56k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 56k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 56k = 0 + -10 56k = 0 + -10 Combine like terms: 0 + -10 = -10 56k = -10 Divide each side by '56'. k = -0.1785714286 Simplifying k = -0.1785714286
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