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Simplifying -13 = -7k + -4 + -2k Reorder the terms: -13 = -4 + -7k + -2k Combine like terms: -7k + -2k = -9k -13 = -4 + -9k Solving -13 = -4 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -13 + 9k = -4 + -9k + 9k Combine like terms: -9k + 9k = 0 -13 + 9k = -4 + 0 -13 + 9k = -4 Add '13' to each side of the equation. -13 + 13 + 9k = -4 + 13 Combine like terms: -13 + 13 = 0 0 + 9k = -4 + 13 9k = -4 + 13 Combine like terms: -4 + 13 = 9 9k = 9 Divide each side by '9'. k = 1 Simplifying k = 1
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