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Simplifying 3k + 3 + 20 = 10k + -5 Reorder the terms: 3 + 20 + 3k = 10k + -5 Combine like terms: 3 + 20 = 23 23 + 3k = 10k + -5 Reorder the terms: 23 + 3k = -5 + 10k Solving 23 + 3k = -5 + 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. 23 + 3k + -10k = -5 + 10k + -10k Combine like terms: 3k + -10k = -7k 23 + -7k = -5 + 10k + -10k Combine like terms: 10k + -10k = 0 23 + -7k = -5 + 0 23 + -7k = -5 Add '-23' to each side of the equation. 23 + -23 + -7k = -5 + -23 Combine like terms: 23 + -23 = 0 0 + -7k = -5 + -23 -7k = -5 + -23 Combine like terms: -5 + -23 = -28 -7k = -28 Divide each side by '-7'. k = 4 Simplifying k = 4
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