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Simplifying 5(7k + 2) + 8k = 10 + 8k Reorder the terms: 5(2 + 7k) + 8k = 10 + 8k (2 * 5 + 7k * 5) + 8k = 10 + 8k (10 + 35k) + 8k = 10 + 8k Combine like terms: 35k + 8k = 43k 10 + 43k = 10 + 8k Add '-10' to each side of the equation. 10 + -10 + 43k = 10 + -10 + 8k Combine like terms: 10 + -10 = 0 0 + 43k = 10 + -10 + 8k 43k = 10 + -10 + 8k Combine like terms: 10 + -10 = 0 43k = 0 + 8k 43k = 8k Solving 43k = 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 43k + -8k = 8k + -8k Combine like terms: 43k + -8k = 35k 35k = 8k + -8k Combine like terms: 8k + -8k = 0 35k = 0 Divide each side by '35'. k = 0 Simplifying k = 0
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