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Simplifying 16k + -20 + 4k = 32 + 7k Reorder the terms: -20 + 16k + 4k = 32 + 7k Combine like terms: 16k + 4k = 20k -20 + 20k = 32 + 7k Solving -20 + 20k = 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 + 20k + -7k = 32 + 7k + -7k Combine like terms: 20k + -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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