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Simplifying 5(3k + 2) = 0 Reorder the terms: 5(2 + 3k) = 0 (2 * 5 + 3k * 5) = 0 (10 + 15k) = 0 Solving 10 + 15k = 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 + 15k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 15k = 0 + -10 15k = 0 + -10 Combine like terms: 0 + -10 = -10 15k = -10 Divide each side by '15'. k = -0.6666666667 Simplifying k = -0.6666666667
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