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