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Simplifying 3(2k + -3) + 6k = 31 + 7k Reorder the terms: 3(-3 + 2k) + 6k = 31 + 7k (-3 * 3 + 2k * 3) + 6k = 31 + 7k (-9 + 6k) + 6k = 31 + 7k Combine like terms: 6k + 6k = 12k -9 + 12k = 31 + 7k Solving -9 + 12k = 31 + 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. -9 + 12k + -7k = 31 + 7k + -7k Combine like terms: 12k + -7k = 5k -9 + 5k = 31 + 7k + -7k Combine like terms: 7k + -7k = 0 -9 + 5k = 31 + 0 -9 + 5k = 31 Add '9' to each side of the equation. -9 + 9 + 5k = 31 + 9 Combine like terms: -9 + 9 = 0 0 + 5k = 31 + 9 5k = 31 + 9 Combine like terms: 31 + 9 = 40 5k = 40 Divide each side by '5'. k = 8 Simplifying k = 8
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