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Simplifying 2(2p + 6) + 15p = 50 Reorder the terms: 2(6 + 2p) + 15p = 50 (6 * 2 + 2p * 2) + 15p = 50 (12 + 4p) + 15p = 50 Combine like terms: 4p + 15p = 19p 12 + 19p = 50 Solving 12 + 19p = 50 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 19p = 50 + -12 Combine like terms: 12 + -12 = 0 0 + 19p = 50 + -12 19p = 50 + -12 Combine like terms: 50 + -12 = 38 19p = 38 Divide each side by '19'. p = 2 Simplifying p = 2
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