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Simplifying 10k + -7 = 3k + -5 Reorder the terms: -7 + 10k = 3k + -5 Reorder the terms: -7 + 10k = -5 + 3k Solving -7 + 10k = -5 + 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 = -5 + 3k + -3k Combine like terms: 10k + -3k = 7k -7 + 7k = -5 + 3k + -3k Combine like terms: 3k + -3k = 0 -7 + 7k = -5 + 0 -7 + 7k = -5 Add '7' to each side of the equation. -7 + 7 + 7k = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 7k = -5 + 7 7k = -5 + 7 Combine like terms: -5 + 7 = 2 7k = 2 Divide each side by '7'. k = 0.2857142857 Simplifying k = 0.2857142857
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