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Simplifying -10 = 10 + (k + -9) Reorder the terms: -10 = 10 + (-9 + k) Remove parenthesis around (-9 + k) -10 = 10 + -9 + k Combine like terms: 10 + -9 = 1 -10 = 1 + k Solving -10 = 1 + 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. -10 + -1k = 1 + k + -1k Combine like terms: k + -1k = 0 -10 + -1k = 1 + 0 -10 + -1k = 1 Add '10' to each side of the equation. -10 + 10 + -1k = 1 + 10 Combine like terms: -10 + 10 = 0 0 + -1k = 1 + 10 -1k = 1 + 10 Combine like terms: 1 + 10 = 11 -1k = 11 Divide each side by '-1'. k = -11 Simplifying k = -11
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