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Simplifying 11p + 7 + -3p + 15 = 14p + 2 + -2p Reorder the terms: 7 + 15 + 11p + -3p = 14p + 2 + -2p Combine like terms: 7 + 15 = 22 22 + 11p + -3p = 14p + 2 + -2p Combine like terms: 11p + -3p = 8p 22 + 8p = 14p + 2 + -2p Reorder the terms: 22 + 8p = 2 + 14p + -2p Combine like terms: 14p + -2p = 12p 22 + 8p = 2 + 12p Solving 22 + 8p = 2 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 22 + 8p + -12p = 2 + 12p + -12p Combine like terms: 8p + -12p = -4p 22 + -4p = 2 + 12p + -12p Combine like terms: 12p + -12p = 0 22 + -4p = 2 + 0 22 + -4p = 2 Add '-22' to each side of the equation. 22 + -22 + -4p = 2 + -22 Combine like terms: 22 + -22 = 0 0 + -4p = 2 + -22 -4p = 2 + -22 Combine like terms: 2 + -22 = -20 -4p = -20 Divide each side by '-4'. p = 5 Simplifying p = 5
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