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Simplifying 2(4 + 3k) + 4k = 58 (4 * 2 + 3k * 2) + 4k = 58 (8 + 6k) + 4k = 58 Combine like terms: 6k + 4k = 10k 8 + 10k = 58 Solving 8 + 10k = 58 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 10k = 58 + -8 Combine like terms: 8 + -8 = 0 0 + 10k = 58 + -8 10k = 58 + -8 Combine like terms: 58 + -8 = 50 10k = 50 Divide each side by '10'. k = 5 Simplifying k = 5
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