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Simplifying -20 + -6k = 19 + 7k + 13 Reorder the terms: -20 + -6k = 19 + 13 + 7k Combine like terms: 19 + 13 = 32 -20 + -6k = 32 + 7k Solving -20 + -6k = 32 + 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. -20 + -6k + -7k = 32 + 7k + -7k Combine like terms: -6k + -7k = -13k -20 + -13k = 32 + 7k + -7k Combine like terms: 7k + -7k = 0 -20 + -13k = 32 + 0 -20 + -13k = 32 Add '20' to each side of the equation. -20 + 20 + -13k = 32 + 20 Combine like terms: -20 + 20 = 0 0 + -13k = 32 + 20 -13k = 32 + 20 Combine like terms: 32 + 20 = 52 -13k = 52 Divide each side by '-13'. k = -4 Simplifying k = -4
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