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Simplifying 11p + -9 + 8p + -7 + 14 = 12p + 9p + 4 Reorder the terms: -9 + -7 + 14 + 11p + 8p = 12p + 9p + 4 Combine like terms: -9 + -7 = -16 -16 + 14 + 11p + 8p = 12p + 9p + 4 Combine like terms: -16 + 14 = -2 -2 + 11p + 8p = 12p + 9p + 4 Combine like terms: 11p + 8p = 19p -2 + 19p = 12p + 9p + 4 Reorder the terms: -2 + 19p = 4 + 12p + 9p Combine like terms: 12p + 9p = 21p -2 + 19p = 4 + 21p Solving -2 + 19p = 4 + 21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21p' to each side of the equation. -2 + 19p + -21p = 4 + 21p + -21p Combine like terms: 19p + -21p = -2p -2 + -2p = 4 + 21p + -21p Combine like terms: 21p + -21p = 0 -2 + -2p = 4 + 0 -2 + -2p = 4 Add '2' to each side of the equation. -2 + 2 + -2p = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -2p = 4 + 2 -2p = 4 + 2 Combine like terms: 4 + 2 = 6 -2p = 6 Divide each side by '-2'. p = -3 Simplifying p = -3
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