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