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Simplifying 8k + -20k + 5 = k + 5 Reorder the terms: 5 + 8k + -20k = k + 5 Combine like terms: 8k + -20k = -12k 5 + -12k = k + 5 Reorder the terms: 5 + -12k = 5 + k Add '-5' to each side of the equation. 5 + -5 + -12k = 5 + -5 + k Combine like terms: 5 + -5 = 0 0 + -12k = 5 + -5 + k -12k = 5 + -5 + k Combine like terms: 5 + -5 = 0 -12k = 0 + k -12k = k Solving -12k = 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. -12k + -1k = k + -1k Combine like terms: -12k + -1k = -13k -13k = k + -1k Combine like terms: k + -1k = 0 -13k = 0 Divide each side by '-13'. k = 0 Simplifying k = 0
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