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Simplifying -2(2k + -1) = -33 + k Reorder the terms: -2(-1 + 2k) = -33 + k (-1 * -2 + 2k * -2) = -33 + k (2 + -4k) = -33 + k Solving 2 + -4k = -33 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 2 + -4k + -1k = -33 + k + -1k Combine like terms: -4k + -1k = -5k 2 + -5k = -33 + k + -1k Combine like terms: k + -1k = 0 2 + -5k = -33 + 0 2 + -5k = -33 Add '-2' to each side of the equation. 2 + -2 + -5k = -33 + -2 Combine like terms: 2 + -2 = 0 0 + -5k = -33 + -2 -5k = -33 + -2 Combine like terms: -33 + -2 = -35 -5k = -35 Divide each side by '-5'. k = 7 Simplifying k = 7
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