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Simplifying 10k + 7 = 3k + 28 Reorder the terms: 7 + 10k = 3k + 28 Reorder the terms: 7 + 10k = 28 + 3k Solving 7 + 10k = 28 + 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. 7 + 10k + -3k = 28 + 3k + -3k Combine like terms: 10k + -3k = 7k 7 + 7k = 28 + 3k + -3k Combine like terms: 3k + -3k = 0 7 + 7k = 28 + 0 7 + 7k = 28 Add '-7' to each side of the equation. 7 + -7 + 7k = 28 + -7 Combine like terms: 7 + -7 = 0 0 + 7k = 28 + -7 7k = 28 + -7 Combine like terms: 28 + -7 = 21 7k = 21 Divide each side by '7'. k = 3 Simplifying k = 3
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