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Simplifying 7k + 11k + -10 = 12k + -34 Reorder the terms: -10 + 7k + 11k = 12k + -34 Combine like terms: 7k + 11k = 18k -10 + 18k = 12k + -34 Reorder the terms: -10 + 18k = -34 + 12k Solving -10 + 18k = -34 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -10 + 18k + -12k = -34 + 12k + -12k Combine like terms: 18k + -12k = 6k -10 + 6k = -34 + 12k + -12k Combine like terms: 12k + -12k = 0 -10 + 6k = -34 + 0 -10 + 6k = -34 Add '10' to each side of the equation. -10 + 10 + 6k = -34 + 10 Combine like terms: -10 + 10 = 0 0 + 6k = -34 + 10 6k = -34 + 10 Combine like terms: -34 + 10 = -24 6k = -24 Divide each side by '6'. k = -4 Simplifying k = -4
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