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Simplifying 2(2k + -7) + 3k = 21 Reorder the terms: 2(-7 + 2k) + 3k = 21 (-7 * 2 + 2k * 2) + 3k = 21 (-14 + 4k) + 3k = 21 Combine like terms: 4k + 3k = 7k -14 + 7k = 21 Solving -14 + 7k = 21 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 7k = 21 + 14 Combine like terms: -14 + 14 = 0 0 + 7k = 21 + 14 7k = 21 + 14 Combine like terms: 21 + 14 = 35 7k = 35 Divide each side by '7'. k = 5 Simplifying k = 5
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