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Simplifying -2(5k + -2) = 34 Reorder the terms: -2(-2 + 5k) = 34 (-2 * -2 + 5k * -2) = 34 (4 + -10k) = 34 Solving 4 + -10k = 34 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -10k = 34 + -4 Combine like terms: 4 + -4 = 0 0 + -10k = 34 + -4 -10k = 34 + -4 Combine like terms: 34 + -4 = 30 -10k = 30 Divide each side by '-10'. k = -3 Simplifying k = -3
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