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Simplifying -23 = 5k + 7k Combine like terms: 5k + 7k = 12k -23 = 12k Solving -23 = 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. -23 + -12k = 12k + -12k Combine like terms: 12k + -12k = 0 -23 + -12k = 0 Add '23' to each side of the equation. -23 + 23 + -12k = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -12k = 0 + 23 -12k = 0 + 23 Combine like terms: 0 + 23 = 23 -12k = 23 Divide each side by '-12'. k = -1.916666667 Simplifying k = -1.916666667
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