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Simplifying 12k + -34 = 10k + 58 Reorder the terms: -34 + 12k = 10k + 58 Reorder the terms: -34 + 12k = 58 + 10k Solving -34 + 12k = 58 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -34 + 12k + -10k = 58 + 10k + -10k Combine like terms: 12k + -10k = 2k -34 + 2k = 58 + 10k + -10k Combine like terms: 10k + -10k = 0 -34 + 2k = 58 + 0 -34 + 2k = 58 Add '34' to each side of the equation. -34 + 34 + 2k = 58 + 34 Combine like terms: -34 + 34 = 0 0 + 2k = 58 + 34 2k = 58 + 34 Combine like terms: 58 + 34 = 92 2k = 92 Divide each side by '2'. k = 46 Simplifying k = 46
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