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Simplifying (5k + 20) + (3k + 16) = 180 Reorder the terms: (20 + 5k) + (3k + 16) = 180 Remove parenthesis around (20 + 5k) 20 + 5k + (3k + 16) = 180 Reorder the terms: 20 + 5k + (16 + 3k) = 180 Remove parenthesis around (16 + 3k) 20 + 5k + 16 + 3k = 180 Reorder the terms: 20 + 16 + 5k + 3k = 180 Combine like terms: 20 + 16 = 36 36 + 5k + 3k = 180 Combine like terms: 5k + 3k = 8k 36 + 8k = 180 Solving 36 + 8k = 180 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 8k = 180 + -36 Combine like terms: 36 + -36 = 0 0 + 8k = 180 + -36 8k = 180 + -36 Combine like terms: 180 + -36 = 144 8k = 144 Divide each side by '8'. k = 18 Simplifying k = 18
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