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Simplifying 22k + -39 = 11k + 2(10k + 12) Reorder the terms: -39 + 22k = 11k + 2(10k + 12) Reorder the terms: -39 + 22k = 11k + 2(12 + 10k) -39 + 22k = 11k + (12 * 2 + 10k * 2) -39 + 22k = 11k + (24 + 20k) Reorder the terms: -39 + 22k = 24 + 11k + 20k Combine like terms: 11k + 20k = 31k -39 + 22k = 24 + 31k Solving -39 + 22k = 24 + 31k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-31k' to each side of the equation. -39 + 22k + -31k = 24 + 31k + -31k Combine like terms: 22k + -31k = -9k -39 + -9k = 24 + 31k + -31k Combine like terms: 31k + -31k = 0 -39 + -9k = 24 + 0 -39 + -9k = 24 Add '39' to each side of the equation. -39 + 39 + -9k = 24 + 39 Combine like terms: -39 + 39 = 0 0 + -9k = 24 + 39 -9k = 24 + 39 Combine like terms: 24 + 39 = 63 -9k = 63 Divide each side by '-9'. k = -7 Simplifying k = -7
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