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Simplifying 4k + 5 = 7k + -9 Reorder the terms: 5 + 4k = 7k + -9 Reorder the terms: 5 + 4k = -9 + 7k Solving 5 + 4k = -9 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 5 + 4k + -7k = -9 + 7k + -7k Combine like terms: 4k + -7k = -3k 5 + -3k = -9 + 7k + -7k Combine like terms: 7k + -7k = 0 5 + -3k = -9 + 0 5 + -3k = -9 Add '-5' to each side of the equation. 5 + -5 + -3k = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -3k = -9 + -5 -3k = -9 + -5 Combine like terms: -9 + -5 = -14 -3k = -14 Divide each side by '-3'. k = 4.666666667 Simplifying k = 4.666666667
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