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