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Simplifying 12k + -5(-2k + -12) = 18k Reorder the terms: 12k + -5(-12 + -2k) = 18k 12k + (-12 * -5 + -2k * -5) = 18k 12k + (60 + 10k) = 18k Reorder the terms: 60 + 12k + 10k = 18k Combine like terms: 12k + 10k = 22k 60 + 22k = 18k Solving 60 + 22k = 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. 60 + 22k + -18k = 18k + -18k Combine like terms: 22k + -18k = 4k 60 + 4k = 18k + -18k Combine like terms: 18k + -18k = 0 60 + 4k = 0 Add '-60' to each side of the equation. 60 + -60 + 4k = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 4k = 0 + -60 4k = 0 + -60 Combine like terms: 0 + -60 = -60 4k = -60 Divide each side by '4'. k = -15 Simplifying k = -15
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