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Simplifying 21 = -3 + (k + -9) Reorder the terms: 21 = -3 + (-9 + k) Remove parenthesis around (-9 + k) 21 = -3 + -9 + k Combine like terms: -3 + -9 = -12 21 = -12 + k Solving 21 = -12 + 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. 21 + -1k = -12 + k + -1k Combine like terms: k + -1k = 0 21 + -1k = -12 + 0 21 + -1k = -12 Add '-21' to each side of the equation. 21 + -21 + -1k = -12 + -21 Combine like terms: 21 + -21 = 0 0 + -1k = -12 + -21 -1k = -12 + -21 Combine like terms: -12 + -21 = -33 -1k = -33 Divide each side by '-1'. k = 33 Simplifying k = 33
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