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Simplifying (4k + 5) + (6k + 10) = 115 Reorder the terms: (5 + 4k) + (6k + 10) = 115 Remove parenthesis around (5 + 4k) 5 + 4k + (6k + 10) = 115 Reorder the terms: 5 + 4k + (10 + 6k) = 115 Remove parenthesis around (10 + 6k) 5 + 4k + 10 + 6k = 115 Reorder the terms: 5 + 10 + 4k + 6k = 115 Combine like terms: 5 + 10 = 15 15 + 4k + 6k = 115 Combine like terms: 4k + 6k = 10k 15 + 10k = 115 Solving 15 + 10k = 115 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 10k = 115 + -15 Combine like terms: 15 + -15 = 0 0 + 10k = 115 + -15 10k = 115 + -15 Combine like terms: 115 + -15 = 100 10k = 100 Divide each side by '10'. k = 10 Simplifying k = 10
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