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Simplifying -3 + -3(-3k + -5) = 7k + 28 Reorder the terms: -3 + -3(-5 + -3k) = 7k + 28 -3 + (-5 * -3 + -3k * -3) = 7k + 28 -3 + (15 + 9k) = 7k + 28 Combine like terms: -3 + 15 = 12 12 + 9k = 7k + 28 Reorder the terms: 12 + 9k = 28 + 7k Solving 12 + 9k = 28 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 12 + 9k + -7k = 28 + 7k + -7k Combine like terms: 9k + -7k = 2k 12 + 2k = 28 + 7k + -7k Combine like terms: 7k + -7k = 0 12 + 2k = 28 + 0 12 + 2k = 28 Add '-12' to each side of the equation. 12 + -12 + 2k = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 2k = 28 + -12 2k = 28 + -12 Combine like terms: 28 + -12 = 16 2k = 16 Divide each side by '2'. k = 8 Simplifying k = 8
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