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Simplifying 5(3k + 8) = 0 Reorder the terms: 5(8 + 3k) = 0 (8 * 5 + 3k * 5) = 0 (40 + 15k) = 0 Solving 40 + 15k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 15k = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 15k = 0 + -40 15k = 0 + -40 Combine like terms: 0 + -40 = -40 15k = -40 Divide each side by '15'. k = -2.666666667 Simplifying k = -2.666666667
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