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Simplifying (7 + 5) * k + -9 = 2k + 21 Combine like terms: 7 + 5 = 12 (12) * k + -9 = 2k + 21 Reorder the terms: -9 + 12k = 2k + 21 Reorder the terms: -9 + 12k = 21 + 2k Solving -9 + 12k = 21 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -9 + 12k + -2k = 21 + 2k + -2k Combine like terms: 12k + -2k = 10k -9 + 10k = 21 + 2k + -2k Combine like terms: 2k + -2k = 0 -9 + 10k = 21 + 0 -9 + 10k = 21 Add '9' to each side of the equation. -9 + 9 + 10k = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 10k = 21 + 9 10k = 21 + 9 Combine like terms: 21 + 9 = 30 10k = 30 Divide each side by '10'. k = 3 Simplifying k = 3
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