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Simplifying 9 + 12p + -8 = 7p + 9 + -3p Reorder the terms: 9 + -8 + 12p = 7p + 9 + -3p Combine like terms: 9 + -8 = 1 1 + 12p = 7p + 9 + -3p Reorder the terms: 1 + 12p = 9 + 7p + -3p Combine like terms: 7p + -3p = 4p 1 + 12p = 9 + 4p Solving 1 + 12p = 9 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 1 + 12p + -4p = 9 + 4p + -4p Combine like terms: 12p + -4p = 8p 1 + 8p = 9 + 4p + -4p Combine like terms: 4p + -4p = 0 1 + 8p = 9 + 0 1 + 8p = 9 Add '-1' to each side of the equation. 1 + -1 + 8p = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 8p = 9 + -1 8p = 9 + -1 Combine like terms: 9 + -1 = 8 8p = 8 Divide each side by '8'. p = 1 Simplifying p = 1
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