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Simplifying 7p + 4p = -2(p + -2) + 5(5p + 4) Combine like terms: 7p + 4p = 11p 11p = -2(p + -2) + 5(5p + 4) Reorder the terms: 11p = -2(-2 + p) + 5(5p + 4) 11p = (-2 * -2 + p * -2) + 5(5p + 4) 11p = (4 + -2p) + 5(5p + 4) Reorder the terms: 11p = 4 + -2p + 5(4 + 5p) 11p = 4 + -2p + (4 * 5 + 5p * 5) 11p = 4 + -2p + (20 + 25p) Reorder the terms: 11p = 4 + 20 + -2p + 25p Combine like terms: 4 + 20 = 24 11p = 24 + -2p + 25p Combine like terms: -2p + 25p = 23p 11p = 24 + 23p Solving 11p = 24 + 23p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-23p' to each side of the equation. 11p + -23p = 24 + 23p + -23p Combine like terms: 11p + -23p = -12p -12p = 24 + 23p + -23p Combine like terms: 23p + -23p = 0 -12p = 24 + 0 -12p = 24 Divide each side by '-12'. p = -2 Simplifying p = -2
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