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Simplifying -10 + -10 + 7k = 2k + 10 Combine like terms: -10 + -10 = -20 -20 + 7k = 2k + 10 Reorder the terms: -20 + 7k = 10 + 2k Solving -20 + 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. -20 + 7k + -2k = 10 + 2k + -2k Combine like terms: 7k + -2k = 5k -20 + 5k = 10 + 2k + -2k Combine like terms: 2k + -2k = 0 -20 + 5k = 10 + 0 -20 + 5k = 10 Add '20' to each side of the equation. -20 + 20 + 5k = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 5k = 10 + 20 5k = 10 + 20 Combine like terms: 10 + 20 = 30 5k = 30 Divide each side by '5'. k = 6 Simplifying k = 6
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