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Simplifying 2k + 4(3k + 3) = 36 + 2k Reorder the terms: 2k + 4(3 + 3k) = 36 + 2k 2k + (3 * 4 + 3k * 4) = 36 + 2k 2k + (12 + 12k) = 36 + 2k Reorder the terms: 12 + 2k + 12k = 36 + 2k Combine like terms: 2k + 12k = 14k 12 + 14k = 36 + 2k Solving 12 + 14k = 36 + 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 + 14k + -2k = 36 + 2k + -2k Combine like terms: 14k + -2k = 12k 12 + 12k = 36 + 2k + -2k Combine like terms: 2k + -2k = 0 12 + 12k = 36 + 0 12 + 12k = 36 Add '-12' to each side of the equation. 12 + -12 + 12k = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 12k = 36 + -12 12k = 36 + -12 Combine like terms: 36 + -12 = 24 12k = 24 Divide each side by '12'. k = 2 Simplifying k = 2
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