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Simplifying 9k + -1(3k + (-3 + 5k)) = 0 Remove parenthesis around (-3 + 5k) 9k + -1(3k + -3 + 5k) = 0 Reorder the terms: 9k + -1(-3 + 3k + 5k) = 0 Combine like terms: 3k + 5k = 8k 9k + -1(-3 + 8k) = 0 9k + (-3 * -1 + 8k * -1) = 0 9k + (3 + -8k) = 0 Reorder the terms: 3 + 9k + -8k = 0 Combine like terms: 9k + -8k = 1k 3 + 1k = 0 Solving 3 + 1k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1k = 0 + -3 1k = 0 + -3 Combine like terms: 0 + -3 = -3 1k = -3 Divide each side by '1'. k = -3 Simplifying k = -3
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