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Simplifying 2k + 3(3k + -5) = 0 Reorder the terms: 2k + 3(-5 + 3k) = 0 2k + (-5 * 3 + 3k * 3) = 0 2k + (-15 + 9k) = 0 Reorder the terms: -15 + 2k + 9k = 0 Combine like terms: 2k + 9k = 11k -15 + 11k = 0 Solving -15 + 11k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 11k = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 11k = 0 + 15 11k = 0 + 15 Combine like terms: 0 + 15 = 15 11k = 15 Divide each side by '11'. k = 1.363636364 Simplifying k = 1.363636364
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