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