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