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Simplifying 9k + -4 = k + 13 + -7k Reorder the terms: -4 + 9k = k + 13 + -7k Reorder the terms: -4 + 9k = 13 + k + -7k Combine like terms: k + -7k = -6k -4 + 9k = 13 + -6k Solving -4 + 9k = 13 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -4 + 9k + 6k = 13 + -6k + 6k Combine like terms: 9k + 6k = 15k -4 + 15k = 13 + -6k + 6k Combine like terms: -6k + 6k = 0 -4 + 15k = 13 + 0 -4 + 15k = 13 Add '4' to each side of the equation. -4 + 4 + 15k = 13 + 4 Combine like terms: -4 + 4 = 0 0 + 15k = 13 + 4 15k = 13 + 4 Combine like terms: 13 + 4 = 17 15k = 17 Divide each side by '15'. k = 1.133333333 Simplifying k = 1.133333333
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