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Simplifying -1(3k + -3) = 31 + -7k Reorder the terms: -1(-3 + 3k) = 31 + -7k (-3 * -1 + 3k * -1) = 31 + -7k (3 + -3k) = 31 + -7k Solving 3 + -3k = 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. 3 + -3k + 7k = 31 + -7k + 7k Combine like terms: -3k + 7k = 4k 3 + 4k = 31 + -7k + 7k Combine like terms: -7k + 7k = 0 3 + 4k = 31 + 0 3 + 4k = 31 Add '-3' to each side of the equation. 3 + -3 + 4k = 31 + -3 Combine like terms: 3 + -3 = 0 0 + 4k = 31 + -3 4k = 31 + -3 Combine like terms: 31 + -3 = 28 4k = 28 Divide each side by '4'. k = 7 Simplifying k = 7
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