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Simplifying 1 + -6k = k + -20 Reorder the terms: 1 + -6k = -20 + k Solving 1 + -6k = -20 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 1 + -6k + -1k = -20 + k + -1k Combine like terms: -6k + -1k = -7k 1 + -7k = -20 + k + -1k Combine like terms: k + -1k = 0 1 + -7k = -20 + 0 1 + -7k = -20 Add '-1' to each side of the equation. 1 + -1 + -7k = -20 + -1 Combine like terms: 1 + -1 = 0 0 + -7k = -20 + -1 -7k = -20 + -1 Combine like terms: -20 + -1 = -21 -7k = -21 Divide each side by '-7'. k = 3 Simplifying k = 3
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