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Simplifying 8k + -6(3 + -2k) = 22 8k + (3 * -6 + -2k * -6) = 22 8k + (-18 + 12k) = 22 Reorder the terms: -18 + 8k + 12k = 22 Combine like terms: 8k + 12k = 20k -18 + 20k = 22 Solving -18 + 20k = 22 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 20k = 22 + 18 Combine like terms: -18 + 18 = 0 0 + 20k = 22 + 18 20k = 22 + 18 Combine like terms: 22 + 18 = 40 20k = 40 Divide each side by '20'. k = 2 Simplifying k = 2
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