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Simplifying 5(4k + 2) + k = 31 Reorder the terms: 5(2 + 4k) + k = 31 (2 * 5 + 4k * 5) + k = 31 (10 + 20k) + k = 31 Combine like terms: 20k + k = 21k 10 + 21k = 31 Solving 10 + 21k = 31 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 21k = 31 + -10 Combine like terms: 10 + -10 = 0 0 + 21k = 31 + -10 21k = 31 + -10 Combine like terms: 31 + -10 = 21 21k = 21 Divide each side by '21'. k = 1 Simplifying k = 1
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