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Simplifying 8(2k + 1 + 3k) = 0 Reorder the terms: 8(1 + 2k + 3k) = 0 Combine like terms: 2k + 3k = 5k 8(1 + 5k) = 0 (1 * 8 + 5k * 8) = 0 (8 + 40k) = 0 Solving 8 + 40k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 40k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 40k = 0 + -8 40k = 0 + -8 Combine like terms: 0 + -8 = -8 40k = -8 Divide each side by '40'. k = -0.2 Simplifying k = -0.2
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