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Simplifying 2(8k + 7) = -20 + -6k Reorder the terms: 2(7 + 8k) = -20 + -6k (7 * 2 + 8k * 2) = -20 + -6k (14 + 16k) = -20 + -6k Solving 14 + 16k = -20 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 14 + 16k + 6k = -20 + -6k + 6k Combine like terms: 16k + 6k = 22k 14 + 22k = -20 + -6k + 6k Combine like terms: -6k + 6k = 0 14 + 22k = -20 + 0 14 + 22k = -20 Add '-14' to each side of the equation. 14 + -14 + 22k = -20 + -14 Combine like terms: 14 + -14 = 0 0 + 22k = -20 + -14 22k = -20 + -14 Combine like terms: -20 + -14 = -34 22k = -34 Divide each side by '22'. k = -1.545454545 Simplifying k = -1.545454545
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