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Simplifying 7k + -5 = 4k + 10 Reorder the terms: -5 + 7k = 4k + 10 Reorder the terms: -5 + 7k = 10 + 4k Solving -5 + 7k = 10 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -5 + 7k + -4k = 10 + 4k + -4k Combine like terms: 7k + -4k = 3k -5 + 3k = 10 + 4k + -4k Combine like terms: 4k + -4k = 0 -5 + 3k = 10 + 0 -5 + 3k = 10 Add '5' to each side of the equation. -5 + 5 + 3k = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 3k = 10 + 5 3k = 10 + 5 Combine like terms: 10 + 5 = 15 3k = 15 Divide each side by '3'. k = 5 Simplifying k = 5
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