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Simplifying -13 = 1 + 7k Solving -13 = 1 + 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. -13 + -7k = 1 + 7k + -7k Combine like terms: 7k + -7k = 0 -13 + -7k = 1 + 0 -13 + -7k = 1 Add '13' to each side of the equation. -13 + 13 + -7k = 1 + 13 Combine like terms: -13 + 13 = 0 0 + -7k = 1 + 13 -7k = 1 + 13 Combine like terms: 1 + 13 = 14 -7k = 14 Divide each side by '-7'. k = -2 Simplifying k = -2
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