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Simplifying 9k + -6k + 10 = 7k + -10 Reorder the terms: 10 + 9k + -6k = 7k + -10 Combine like terms: 9k + -6k = 3k 10 + 3k = 7k + -10 Reorder the terms: 10 + 3k = -10 + 7k Solving 10 + 3k = -10 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 10 + 3k + -7k = -10 + 7k + -7k Combine like terms: 3k + -7k = -4k 10 + -4k = -10 + 7k + -7k Combine like terms: 7k + -7k = 0 10 + -4k = -10 + 0 10 + -4k = -10 Add '-10' to each side of the equation. 10 + -10 + -4k = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -4k = -10 + -10 -4k = -10 + -10 Combine like terms: -10 + -10 = -20 -4k = -20 Divide each side by '-4'. k = 5 Simplifying k = 5
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