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Simplifying -2k + -12 = 6k + -36 Reorder the terms: -12 + -2k = 6k + -36 Reorder the terms: -12 + -2k = -36 + 6k Solving -12 + -2k = -36 + 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. -12 + -2k + -6k = -36 + 6k + -6k Combine like terms: -2k + -6k = -8k -12 + -8k = -36 + 6k + -6k Combine like terms: 6k + -6k = 0 -12 + -8k = -36 + 0 -12 + -8k = -36 Add '12' to each side of the equation. -12 + 12 + -8k = -36 + 12 Combine like terms: -12 + 12 = 0 0 + -8k = -36 + 12 -8k = -36 + 12 Combine like terms: -36 + 12 = -24 -8k = -24 Divide each side by '-8'. k = 3 Simplifying k = 3
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