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Simplifying 7 + 14p + -2p + 8 = 13 + 11p + 17 Reorder the terms: 7 + 8 + 14p + -2p = 13 + 11p + 17 Combine like terms: 7 + 8 = 15 15 + 14p + -2p = 13 + 11p + 17 Combine like terms: 14p + -2p = 12p 15 + 12p = 13 + 11p + 17 Reorder the terms: 15 + 12p = 13 + 17 + 11p Combine like terms: 13 + 17 = 30 15 + 12p = 30 + 11p Solving 15 + 12p = 30 + 11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11p' to each side of the equation. 15 + 12p + -11p = 30 + 11p + -11p Combine like terms: 12p + -11p = 1p 15 + 1p = 30 + 11p + -11p Combine like terms: 11p + -11p = 0 15 + 1p = 30 + 0 15 + 1p = 30 Add '-15' to each side of the equation. 15 + -15 + 1p = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 1p = 30 + -15 1p = 30 + -15 Combine like terms: 30 + -15 = 15 1p = 15 Divide each side by '1'. p = 15 Simplifying p = 15
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