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Simplifying 7k + 10 = 3k + 50 Reorder the terms: 10 + 7k = 3k + 50 Reorder the terms: 10 + 7k = 50 + 3k Solving 10 + 7k = 50 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 10 + 7k + -3k = 50 + 3k + -3k Combine like terms: 7k + -3k = 4k 10 + 4k = 50 + 3k + -3k Combine like terms: 3k + -3k = 0 10 + 4k = 50 + 0 10 + 4k = 50 Add '-10' to each side of the equation. 10 + -10 + 4k = 50 + -10 Combine like terms: 10 + -10 = 0 0 + 4k = 50 + -10 4k = 50 + -10 Combine like terms: 50 + -10 = 40 4k = 40 Divide each side by '4'. k = 10 Simplifying k = 10
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