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Simplifying 7k + -72 + -1k = 12k Reorder the terms: -72 + 7k + -1k = 12k Combine like terms: 7k + -1k = 6k -72 + 6k = 12k Solving -72 + 6k = 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -72 + 6k + -12k = 12k + -12k Combine like terms: 6k + -12k = -6k -72 + -6k = 12k + -12k Combine like terms: 12k + -12k = 0 -72 + -6k = 0 Add '72' to each side of the equation. -72 + 72 + -6k = 0 + 72 Combine like terms: -72 + 72 = 0 0 + -6k = 0 + 72 -6k = 0 + 72 Combine like terms: 0 + 72 = 72 -6k = 72 Divide each side by '-6'. k = -12 Simplifying k = -12
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