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Simplifying p + 3 + 2p + 4 = 7 + 5p + 6p + 8 Reorder the terms: 3 + 4 + p + 2p = 7 + 5p + 6p + 8 Combine like terms: 3 + 4 = 7 7 + p + 2p = 7 + 5p + 6p + 8 Combine like terms: p + 2p = 3p 7 + 3p = 7 + 5p + 6p + 8 Reorder the terms: 7 + 3p = 7 + 8 + 5p + 6p Combine like terms: 7 + 8 = 15 7 + 3p = 15 + 5p + 6p Combine like terms: 5p + 6p = 11p 7 + 3p = 15 + 11p Solving 7 + 3p = 15 + 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. 7 + 3p + -11p = 15 + 11p + -11p Combine like terms: 3p + -11p = -8p 7 + -8p = 15 + 11p + -11p Combine like terms: 11p + -11p = 0 7 + -8p = 15 + 0 7 + -8p = 15 Add '-7' to each side of the equation. 7 + -7 + -8p = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -8p = 15 + -7 -8p = 15 + -7 Combine like terms: 15 + -7 = 8 -8p = 8 Divide each side by '-8'. p = -1 Simplifying p = -1
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