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Simplifying -2(-6) = 6(k + 4) Multiply -2 * -6 12 = 6(k + 4) Reorder the terms: 12 = 6(4 + k) 12 = (4 * 6 + k * 6) 12 = (24 + 6k) Solving 12 = 24 + 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 + -6k = 24 + 6k + -6k Combine like terms: 6k + -6k = 0 12 + -6k = 24 + 0 12 + -6k = 24 Add '-12' to each side of the equation. 12 + -12 + -6k = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -6k = 24 + -12 -6k = 24 + -12 Combine like terms: 24 + -12 = 12 -6k = 12 Divide each side by '-6'. k = -2 Simplifying k = -2
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