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Simplifying -2(-1k + -12) = -2k + -12 Reorder the terms: -2(-12 + -1k) = -2k + -12 (-12 * -2 + -1k * -2) = -2k + -12 (24 + 2k) = -2k + -12 Reorder the terms: 24 + 2k = -12 + -2k Solving 24 + 2k = -12 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 24 + 2k + 2k = -12 + -2k + 2k Combine like terms: 2k + 2k = 4k 24 + 4k = -12 + -2k + 2k Combine like terms: -2k + 2k = 0 24 + 4k = -12 + 0 24 + 4k = -12 Add '-24' to each side of the equation. 24 + -24 + 4k = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 4k = -12 + -24 4k = -12 + -24 Combine like terms: -12 + -24 = -36 4k = -36 Divide each side by '4'. k = -9 Simplifying k = -9
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