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Simplifying (2p + -5) + (p + 2) = 45 Reorder the terms: (-5 + 2p) + (p + 2) = 45 Remove parenthesis around (-5 + 2p) -5 + 2p + (p + 2) = 45 Reorder the terms: -5 + 2p + (2 + p) = 45 Remove parenthesis around (2 + p) -5 + 2p + 2 + p = 45 Reorder the terms: -5 + 2 + 2p + p = 45 Combine like terms: -5 + 2 = -3 -3 + 2p + p = 45 Combine like terms: 2p + p = 3p -3 + 3p = 45 Solving -3 + 3p = 45 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 3p = 45 + 3 Combine like terms: -3 + 3 = 0 0 + 3p = 45 + 3 3p = 45 + 3 Combine like terms: 45 + 3 = 48 3p = 48 Divide each side by '3'. p = 16 Simplifying p = 16
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