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Simplifying 4k + -9 = 13 + 7k Reorder the terms: -9 + 4k = 13 + 7k Solving -9 + 4k = 13 + 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. -9 + 4k + -7k = 13 + 7k + -7k Combine like terms: 4k + -7k = -3k -9 + -3k = 13 + 7k + -7k Combine like terms: 7k + -7k = 0 -9 + -3k = 13 + 0 -9 + -3k = 13 Add '9' to each side of the equation. -9 + 9 + -3k = 13 + 9 Combine like terms: -9 + 9 = 0 0 + -3k = 13 + 9 -3k = 13 + 9 Combine like terms: 13 + 9 = 22 -3k = 22 Divide each side by '-3'. k = -7.333333333 Simplifying k = -7.333333333
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