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Simplifying 2 + -7k = -5k + 10 Reorder the terms: 2 + -7k = 10 + -5k Solving 2 + -7k = 10 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 2 + -7k + 5k = 10 + -5k + 5k Combine like terms: -7k + 5k = -2k 2 + -2k = 10 + -5k + 5k Combine like terms: -5k + 5k = 0 2 + -2k = 10 + 0 2 + -2k = 10 Add '-2' to each side of the equation. 2 + -2 + -2k = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -2k = 10 + -2 -2k = 10 + -2 Combine like terms: 10 + -2 = 8 -2k = 8 Divide each side by '-2'. k = -4 Simplifying k = -4
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