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Simplifying k + 3 = 7k + 15 Reorder the terms: 3 + k = 7k + 15 Reorder the terms: 3 + k = 15 + 7k Solving 3 + k = 15 + 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. 3 + k + -7k = 15 + 7k + -7k Combine like terms: k + -7k = -6k 3 + -6k = 15 + 7k + -7k Combine like terms: 7k + -7k = 0 3 + -6k = 15 + 0 3 + -6k = 15 Add '-3' to each side of the equation. 3 + -3 + -6k = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -6k = 15 + -3 -6k = 15 + -3 Combine like terms: 15 + -3 = 12 -6k = 12 Divide each side by '-6'. k = -2 Simplifying k = -2
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