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Simplifying 4k + 12 = -36 + 2k Reorder the terms: 12 + 4k = -36 + 2k Solving 12 + 4k = -36 + 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. 12 + 4k + -2k = -36 + 2k + -2k Combine like terms: 4k + -2k = 2k 12 + 2k = -36 + 2k + -2k Combine like terms: 2k + -2k = 0 12 + 2k = -36 + 0 12 + 2k = -36 Add '-12' to each side of the equation. 12 + -12 + 2k = -36 + -12 Combine like terms: 12 + -12 = 0 0 + 2k = -36 + -12 2k = -36 + -12 Combine like terms: -36 + -12 = -48 2k = -48 Divide each side by '2'. k = -24 Simplifying k = -24
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