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Simplifying 4 + 12p + -3 = 8p + 57 + -4p Reorder the terms: 4 + -3 + 12p = 8p + 57 + -4p Combine like terms: 4 + -3 = 1 1 + 12p = 8p + 57 + -4p Reorder the terms: 1 + 12p = 57 + 8p + -4p Combine like terms: 8p + -4p = 4p 1 + 12p = 57 + 4p Solving 1 + 12p = 57 + 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 = 57 + 4p + -4p Combine like terms: 12p + -4p = 8p 1 + 8p = 57 + 4p + -4p Combine like terms: 4p + -4p = 0 1 + 8p = 57 + 0 1 + 8p = 57 Add '-1' to each side of the equation. 1 + -1 + 8p = 57 + -1 Combine like terms: 1 + -1 = 0 0 + 8p = 57 + -1 8p = 57 + -1 Combine like terms: 57 + -1 = 56 8p = 56 Divide each side by '8'. p = 7 Simplifying p = 7
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