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Simplifying 3(2k + 2) + 1 = 4 + 12k Reorder the terms: 3(2 + 2k) + 1 = 4 + 12k (2 * 3 + 2k * 3) + 1 = 4 + 12k (6 + 6k) + 1 = 4 + 12k Reorder the terms: 6 + 1 + 6k = 4 + 12k Combine like terms: 6 + 1 = 7 7 + 6k = 4 + 12k Solving 7 + 6k = 4 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 7 + 6k + -12k = 4 + 12k + -12k Combine like terms: 6k + -12k = -6k 7 + -6k = 4 + 12k + -12k Combine like terms: 12k + -12k = 0 7 + -6k = 4 + 0 7 + -6k = 4 Add '-7' to each side of the equation. 7 + -7 + -6k = 4 + -7 Combine like terms: 7 + -7 = 0 0 + -6k = 4 + -7 -6k = 4 + -7 Combine like terms: 4 + -7 = -3 -6k = -3 Divide each side by '-6'. k = 0.5 Simplifying k = 0.5
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