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Simplifying (3k + 10) + 2k = 90 Reorder the terms: (10 + 3k) + 2k = 90 Remove parenthesis around (10 + 3k) 10 + 3k + 2k = 90 Combine like terms: 3k + 2k = 5k 10 + 5k = 90 Solving 10 + 5k = 90 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 + 5k = 90 + -10 Combine like terms: 10 + -10 = 0 0 + 5k = 90 + -10 5k = 90 + -10 Combine like terms: 90 + -10 = 80 5k = 80 Divide each side by '5'. k = 16 Simplifying k = 16
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