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Simplifying 7p + p + 41 = 12p + 9 Reorder the terms: 41 + 7p + p = 12p + 9 Combine like terms: 7p + p = 8p 41 + 8p = 12p + 9 Reorder the terms: 41 + 8p = 9 + 12p Solving 41 + 8p = 9 + 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. 41 + 8p + -12p = 9 + 12p + -12p Combine like terms: 8p + -12p = -4p 41 + -4p = 9 + 12p + -12p Combine like terms: 12p + -12p = 0 41 + -4p = 9 + 0 41 + -4p = 9 Add '-41' to each side of the equation. 41 + -41 + -4p = 9 + -41 Combine like terms: 41 + -41 = 0 0 + -4p = 9 + -41 -4p = 9 + -41 Combine like terms: 9 + -41 = -32 -4p = -32 Divide each side by '-4'. p = 8 Simplifying p = 8
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