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Simplifying p + 27 + 2p + 60 = 2(p + 49) Reorder the terms: 27 + 60 + p + 2p = 2(p + 49) Combine like terms: 27 + 60 = 87 87 + p + 2p = 2(p + 49) Combine like terms: p + 2p = 3p 87 + 3p = 2(p + 49) Reorder the terms: 87 + 3p = 2(49 + p) 87 + 3p = (49 * 2 + p * 2) 87 + 3p = (98 + 2p) Solving 87 + 3p = 98 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 87 + 3p + -2p = 98 + 2p + -2p Combine like terms: 3p + -2p = 1p 87 + 1p = 98 + 2p + -2p Combine like terms: 2p + -2p = 0 87 + 1p = 98 + 0 87 + 1p = 98 Add '-87' to each side of the equation. 87 + -87 + 1p = 98 + -87 Combine like terms: 87 + -87 = 0 0 + 1p = 98 + -87 1p = 98 + -87 Combine like terms: 98 + -87 = 11 1p = 11 Divide each side by '1'. p = 11 Simplifying p = 11
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