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Simplifying (4k + 5k + 1) = 0 Reorder the terms: (1 + 4k + 5k) = 0 Combine like terms: 4k + 5k = 9k (1 + 9k) = 0 Remove parenthesis around (1 + 9k) 1 + 9k = 0 Solving 1 + 9k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 9k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9k = 0 + -1 9k = 0 + -1 Combine like terms: 0 + -1 = -1 9k = -1 Divide each side by '9'. k = -0.1111111111 Simplifying k = -0.1111111111
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