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Simplifying 10 = k + 3 + 6k Reorder the terms: 10 = 3 + k + 6k Combine like terms: k + 6k = 7k 10 = 3 + 7k Solving 10 = 3 + 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 + -7k = 3 + 7k + -7k Combine like terms: 7k + -7k = 0 10 + -7k = 3 + 0 10 + -7k = 3 Add '-10' to each side of the equation. 10 + -10 + -7k = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -7k = 3 + -10 -7k = 3 + -10 Combine like terms: 3 + -10 = -7 -7k = -7 Divide each side by '-7'. k = 1 Simplifying k = 1
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