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Simplifying (p + 30) + p + (3p + -3p) = 1156 Reorder the terms: (30 + p) + p + (3p + -3p) = 1156 Remove parenthesis around (30 + p) 30 + p + p + (3p + -3p) = 1156 Combine like terms: 3p + -3p = 0 30 + p + p + (0) = 1156 30 + p + p + 0 = 1156 Reorder the terms: 30 + 0 + p + p = 1156 Combine like terms: 30 + 0 = 30 30 + p + p = 1156 Combine like terms: p + p = 2p 30 + 2p = 1156 Solving 30 + 2p = 1156 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 2p = 1156 + -30 Combine like terms: 30 + -30 = 0 0 + 2p = 1156 + -30 2p = 1156 + -30 Combine like terms: 1156 + -30 = 1126 2p = 1126 Divide each side by '2'. p = 563 Simplifying p = 563
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