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Simplifying 12 = -2(-2 + k) 12 = (-2 * -2 + k * -2) 12 = (4 + -2k) Solving 12 = 4 + -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 + 2k = 4 + -2k + 2k Combine like terms: -2k + 2k = 0 12 + 2k = 4 + 0 12 + 2k = 4 Add '-12' to each side of the equation. 12 + -12 + 2k = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 2k = 4 + -12 2k = 4 + -12 Combine like terms: 4 + -12 = -8 2k = -8 Divide each side by '2'. k = -4 Simplifying k = -4
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