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Simplifying 2(5k + 3) = -16 + -8k Reorder the terms: 2(3 + 5k) = -16 + -8k (3 * 2 + 5k * 2) = -16 + -8k (6 + 10k) = -16 + -8k Solving 6 + 10k = -16 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 6 + 10k + 8k = -16 + -8k + 8k Combine like terms: 10k + 8k = 18k 6 + 18k = -16 + -8k + 8k Combine like terms: -8k + 8k = 0 6 + 18k = -16 + 0 6 + 18k = -16 Add '-6' to each side of the equation. 6 + -6 + 18k = -16 + -6 Combine like terms: 6 + -6 = 0 0 + 18k = -16 + -6 18k = -16 + -6 Combine like terms: -16 + -6 = -22 18k = -22 Divide each side by '18'. k = -1.222222222 Simplifying k = -1.222222222
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