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Simplifying -2(2k + -5) = -34 Reorder the terms: -2(-5 + 2k) = -34 (-5 * -2 + 2k * -2) = -34 (10 + -4k) = -34 Solving 10 + -4k = -34 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -4k = -34 + -10 Combine like terms: 10 + -10 = 0 0 + -4k = -34 + -10 -4k = -34 + -10 Combine like terms: -34 + -10 = -44 -4k = -44 Divide each side by '-4'. k = 11 Simplifying k = 11
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