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Simplifying 9 = 4[3k + -4] + -7k Reorder the terms: 9 = 4[-4 + 3k] + -7k 9 = [-4 * 4 + 3k * 4] + -7k 9 = [-16 + 12k] + -7k Combine like terms: 12k + -7k = 5k 9 = -16 + 5k Solving 9 = -16 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 9 + -5k = -16 + 5k + -5k Combine like terms: 5k + -5k = 0 9 + -5k = -16 + 0 9 + -5k = -16 Add '-9' to each side of the equation. 9 + -9 + -5k = -16 + -9 Combine like terms: 9 + -9 = 0 0 + -5k = -16 + -9 -5k = -16 + -9 Combine like terms: -16 + -9 = -25 -5k = -25 Divide each side by '-5'. k = 5 Simplifying k = 5
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