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Simplifying 24 + -7k = 3(-3k + 4) Reorder the terms: 24 + -7k = 3(4 + -3k) 24 + -7k = (4 * 3 + -3k * 3) 24 + -7k = (12 + -9k) Solving 24 + -7k = 12 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 24 + -7k + 9k = 12 + -9k + 9k Combine like terms: -7k + 9k = 2k 24 + 2k = 12 + -9k + 9k Combine like terms: -9k + 9k = 0 24 + 2k = 12 + 0 24 + 2k = 12 Add '-24' to each side of the equation. 24 + -24 + 2k = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 2k = 12 + -24 2k = 12 + -24 Combine like terms: 12 + -24 = -12 2k = -12 Divide each side by '2'. k = -6 Simplifying k = -6
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