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Simplifying 2(k + 6) = -2(k + -4) Reorder the terms: 2(6 + k) = -2(k + -4) (6 * 2 + k * 2) = -2(k + -4) (12 + 2k) = -2(k + -4) Reorder the terms: 12 + 2k = -2(-4 + k) 12 + 2k = (-4 * -2 + k * -2) 12 + 2k = (8 + -2k) Solving 12 + 2k = 8 + -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 + 2k = 8 + -2k + 2k Combine like terms: 2k + 2k = 4k 12 + 4k = 8 + -2k + 2k Combine like terms: -2k + 2k = 0 12 + 4k = 8 + 0 12 + 4k = 8 Add '-12' to each side of the equation. 12 + -12 + 4k = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 4k = 8 + -12 4k = 8 + -12 Combine like terms: 8 + -12 = -4 4k = -4 Divide each side by '4'. k = -1 Simplifying k = -1
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