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Simplifying 5k + -7 = 7 + -2k Reorder the terms: -7 + 5k = 7 + -2k Solving -7 + 5k = 7 + -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. -7 + 5k + 2k = 7 + -2k + 2k Combine like terms: 5k + 2k = 7k -7 + 7k = 7 + -2k + 2k Combine like terms: -2k + 2k = 0 -7 + 7k = 7 + 0 -7 + 7k = 7 Add '7' to each side of the equation. -7 + 7 + 7k = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 7k = 7 + 7 7k = 7 + 7 Combine like terms: 7 + 7 = 14 7k = 14 Divide each side by '7'. k = 2 Simplifying k = 2
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