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Simplifying -12 = (2k + 2) Reorder the terms: -12 = (2 + 2k) Remove parenthesis around (2 + 2k) -12 = 2 + 2k Solving -12 = 2 + 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 = 2 + 2k + -2k Combine like terms: 2k + -2k = 0 -12 + -2k = 2 + 0 -12 + -2k = 2 Add '12' to each side of the equation. -12 + 12 + -2k = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -2k = 2 + 12 -2k = 2 + 12 Combine like terms: 2 + 12 = 14 -2k = 14 Divide each side by '-2'. k = -7 Simplifying k = -7
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