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Simplifying -31 + 7k = -2(k + -5) + -5 Reorder the terms: -31 + 7k = -2(-5 + k) + -5 -31 + 7k = (-5 * -2 + k * -2) + -5 -31 + 7k = (10 + -2k) + -5 Reorder the terms: -31 + 7k = 10 + -5 + -2k Combine like terms: 10 + -5 = 5 -31 + 7k = 5 + -2k Solving -31 + 7k = 5 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -31 + 7k + 2k = 5 + -2k + 2k Combine like terms: 7k + 2k = 9k -31 + 9k = 5 + -2k + 2k Combine like terms: -2k + 2k = 0 -31 + 9k = 5 + 0 -31 + 9k = 5 Add '31' to each side of the equation. -31 + 31 + 9k = 5 + 31 Combine like terms: -31 + 31 = 0 0 + 9k = 5 + 31 9k = 5 + 31 Combine like terms: 5 + 31 = 36 9k = 36 Divide each side by '9'. k = 4 Simplifying k = 4
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