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Simplifying 12k + -10 + -1k = 3(2k + 20) Reorder the terms: -10 + 12k + -1k = 3(2k + 20) Combine like terms: 12k + -1k = 11k -10 + 11k = 3(2k + 20) Reorder the terms: -10 + 11k = 3(20 + 2k) -10 + 11k = (20 * 3 + 2k * 3) -10 + 11k = (60 + 6k) Solving -10 + 11k = 60 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -10 + 11k + -6k = 60 + 6k + -6k Combine like terms: 11k + -6k = 5k -10 + 5k = 60 + 6k + -6k Combine like terms: 6k + -6k = 0 -10 + 5k = 60 + 0 -10 + 5k = 60 Add '10' to each side of the equation. -10 + 10 + 5k = 60 + 10 Combine like terms: -10 + 10 = 0 0 + 5k = 60 + 10 5k = 60 + 10 Combine like terms: 60 + 10 = 70 5k = 70 Divide each side by '5'. k = 14 Simplifying k = 14
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