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Simplifying 12k + 11(3k + -5) = 0 Reorder the terms: 12k + 11(-5 + 3k) = 0 12k + (-5 * 11 + 3k * 11) = 0 12k + (-55 + 33k) = 0 Reorder the terms: -55 + 12k + 33k = 0 Combine like terms: 12k + 33k = 45k -55 + 45k = 0 Solving -55 + 45k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 45k = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 45k = 0 + 55 45k = 0 + 55 Combine like terms: 0 + 55 = 55 45k = 55 Divide each side by '45'. k = 1.222222222 Simplifying k = 1.222222222
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