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Simplifying 10k + 12 = 4k + -18 Reorder the terms: 12 + 10k = 4k + -18 Reorder the terms: 12 + 10k = -18 + 4k Solving 12 + 10k = -18 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 12 + 10k + -4k = -18 + 4k + -4k Combine like terms: 10k + -4k = 6k 12 + 6k = -18 + 4k + -4k Combine like terms: 4k + -4k = 0 12 + 6k = -18 + 0 12 + 6k = -18 Add '-12' to each side of the equation. 12 + -12 + 6k = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 6k = -18 + -12 6k = -18 + -12 Combine like terms: -18 + -12 = -30 6k = -30 Divide each side by '6'. k = -5 Simplifying k = -5
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