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Simplifying 13 = 8 + k + -6 Reorder the terms: 13 = 8 + -6 + k Combine like terms: 8 + -6 = 2 13 = 2 + k Solving 13 = 2 + 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. 13 + -1k = 2 + k + -1k Combine like terms: k + -1k = 0 13 + -1k = 2 + 0 13 + -1k = 2 Add '-13' to each side of the equation. 13 + -13 + -1k = 2 + -13 Combine like terms: 13 + -13 = 0 0 + -1k = 2 + -13 -1k = 2 + -13 Combine like terms: 2 + -13 = -11 -1k = -11 Divide each side by '-1'. k = 11 Simplifying k = 11
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