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Simplifying 5(8k + 10) + 3 = 0 Reorder the terms: 5(10 + 8k) + 3 = 0 (10 * 5 + 8k * 5) + 3 = 0 (50 + 40k) + 3 = 0 Reorder the terms: 50 + 3 + 40k = 0 Combine like terms: 50 + 3 = 53 53 + 40k = 0 Solving 53 + 40k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 40k = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 40k = 0 + -53 40k = 0 + -53 Combine like terms: 0 + -53 = -53 40k = -53 Divide each side by '40'. k = -1.325 Simplifying k = -1.325
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