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Simplifying 7k + -5 = 10 + 2k Reorder the terms: -5 + 7k = 10 + 2k Solving -5 + 7k = 10 + 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. -5 + 7k + -2k = 10 + 2k + -2k Combine like terms: 7k + -2k = 5k -5 + 5k = 10 + 2k + -2k Combine like terms: 2k + -2k = 0 -5 + 5k = 10 + 0 -5 + 5k = 10 Add '5' to each side of the equation. -5 + 5 + 5k = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 5k = 10 + 5 5k = 10 + 5 Combine like terms: 10 + 5 = 15 5k = 15 Divide each side by '5'. k = 3 Simplifying k = 3
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