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Simplifying 7 + 3(1 + 7k) = 36 + 8k 7 + (1 * 3 + 7k * 3) = 36 + 8k 7 + (3 + 21k) = 36 + 8k Combine like terms: 7 + 3 = 10 10 + 21k = 36 + 8k Solving 10 + 21k = 36 + 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. 10 + 21k + -8k = 36 + 8k + -8k Combine like terms: 21k + -8k = 13k 10 + 13k = 36 + 8k + -8k Combine like terms: 8k + -8k = 0 10 + 13k = 36 + 0 10 + 13k = 36 Add '-10' to each side of the equation. 10 + -10 + 13k = 36 + -10 Combine like terms: 10 + -10 = 0 0 + 13k = 36 + -10 13k = 36 + -10 Combine like terms: 36 + -10 = 26 13k = 26 Divide each side by '13'. k = 2 Simplifying k = 2
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