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Simplifying -2(5k + -1) = 22 Reorder the terms: -2(-1 + 5k) = 22 (-1 * -2 + 5k * -2) = 22 (2 + -10k) = 22 Solving 2 + -10k = 22 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -10k = 22 + -2 Combine like terms: 2 + -2 = 0 0 + -10k = 22 + -2 -10k = 22 + -2 Combine like terms: 22 + -2 = 20 -10k = 20 Divide each side by '-10'. k = -2 Simplifying k = -2
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