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