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Simplifying -2k + -13 = 7 + -7k Reorder the terms: -13 + -2k = 7 + -7k Solving -13 + -2k = 7 + -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. -13 + -2k + 7k = 7 + -7k + 7k Combine like terms: -2k + 7k = 5k -13 + 5k = 7 + -7k + 7k Combine like terms: -7k + 7k = 0 -13 + 5k = 7 + 0 -13 + 5k = 7 Add '13' to each side of the equation. -13 + 13 + 5k = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 5k = 7 + 13 5k = 7 + 13 Combine like terms: 7 + 13 = 20 5k = 20 Divide each side by '5'. k = 4 Simplifying k = 4
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