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Simplifying 5(3 + 8k) = 0 (3 * 5 + 8k * 5) = 0 (15 + 40k) = 0 Solving 15 + 40k = 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 + 40k = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 40k = 0 + -15 40k = 0 + -15 Combine like terms: 0 + -15 = -15 40k = -15 Divide each side by '40'. k = -0.375 Simplifying k = -0.375
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