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Simplifying 7k + 24 = 6(2k + -1) Reorder the terms: 24 + 7k = 6(2k + -1) Reorder the terms: 24 + 7k = 6(-1 + 2k) 24 + 7k = (-1 * 6 + 2k * 6) 24 + 7k = (-6 + 12k) Solving 24 + 7k = -6 + 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. 24 + 7k + -12k = -6 + 12k + -12k Combine like terms: 7k + -12k = -5k 24 + -5k = -6 + 12k + -12k Combine like terms: 12k + -12k = 0 24 + -5k = -6 + 0 24 + -5k = -6 Add '-24' to each side of the equation. 24 + -24 + -5k = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -5k = -6 + -24 -5k = -6 + -24 Combine like terms: -6 + -24 = -30 -5k = -30 Divide each side by '-5'. k = 6 Simplifying k = 6
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