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Simplifying 2k + 36 = 6k + -12 Reorder the terms: 36 + 2k = 6k + -12 Reorder the terms: 36 + 2k = -12 + 6k Solving 36 + 2k = -12 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 36 + 2k + -6k = -12 + 6k + -6k Combine like terms: 2k + -6k = -4k 36 + -4k = -12 + 6k + -6k Combine like terms: 6k + -6k = 0 36 + -4k = -12 + 0 36 + -4k = -12 Add '-36' to each side of the equation. 36 + -36 + -4k = -12 + -36 Combine like terms: 36 + -36 = 0 0 + -4k = -12 + -36 -4k = -12 + -36 Combine like terms: -12 + -36 = -48 -4k = -48 Divide each side by '-4'. k = 12 Simplifying k = 12
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