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Simplifying 5k + -11 = 12k + 24 Reorder the terms: -11 + 5k = 12k + 24 Reorder the terms: -11 + 5k = 24 + 12k Solving -11 + 5k = 24 + 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. -11 + 5k + -12k = 24 + 12k + -12k Combine like terms: 5k + -12k = -7k -11 + -7k = 24 + 12k + -12k Combine like terms: 12k + -12k = 0 -11 + -7k = 24 + 0 -11 + -7k = 24 Add '11' to each side of the equation. -11 + 11 + -7k = 24 + 11 Combine like terms: -11 + 11 = 0 0 + -7k = 24 + 11 -7k = 24 + 11 Combine like terms: 24 + 11 = 35 -7k = 35 Divide each side by '-7'. k = -5 Simplifying k = -5
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