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Simplifying -2(7 + 2k) = 3k (7 * -2 + 2k * -2) = 3k (-14 + -4k) = 3k Solving -14 + -4k = 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -14 + -4k + -3k = 3k + -3k Combine like terms: -4k + -3k = -7k -14 + -7k = 3k + -3k Combine like terms: 3k + -3k = 0 -14 + -7k = 0 Add '14' to each side of the equation. -14 + 14 + -7k = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -7k = 0 + 14 -7k = 0 + 14 Combine like terms: 0 + 14 = 14 -7k = 14 Divide each side by '-7'. k = -2 Simplifying k = -2
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