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Simplifying (p + -8) + (2p + -58) = p + 15 Reorder the terms: (-8 + p) + (2p + -58) = p + 15 Remove parenthesis around (-8 + p) -8 + p + (2p + -58) = p + 15 Reorder the terms: -8 + p + (-58 + 2p) = p + 15 Remove parenthesis around (-58 + 2p) -8 + p + -58 + 2p = p + 15 Reorder the terms: -8 + -58 + p + 2p = p + 15 Combine like terms: -8 + -58 = -66 -66 + p + 2p = p + 15 Combine like terms: p + 2p = 3p -66 + 3p = p + 15 Reorder the terms: -66 + 3p = 15 + p Solving -66 + 3p = 15 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -66 + 3p + -1p = 15 + p + -1p Combine like terms: 3p + -1p = 2p -66 + 2p = 15 + p + -1p Combine like terms: p + -1p = 0 -66 + 2p = 15 + 0 -66 + 2p = 15 Add '66' to each side of the equation. -66 + 66 + 2p = 15 + 66 Combine like terms: -66 + 66 = 0 0 + 2p = 15 + 66 2p = 15 + 66 Combine like terms: 15 + 66 = 81 2p = 81 Divide each side by '2'. p = 40.5 Simplifying p = 40.5
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