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Simplifying 4 + 12p + -2 = 8p + 74 + -4p Reorder the terms: 4 + -2 + 12p = 8p + 74 + -4p Combine like terms: 4 + -2 = 2 2 + 12p = 8p + 74 + -4p Reorder the terms: 2 + 12p = 74 + 8p + -4p Combine like terms: 8p + -4p = 4p 2 + 12p = 74 + 4p Solving 2 + 12p = 74 + 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. 2 + 12p + -4p = 74 + 4p + -4p Combine like terms: 12p + -4p = 8p 2 + 8p = 74 + 4p + -4p Combine like terms: 4p + -4p = 0 2 + 8p = 74 + 0 2 + 8p = 74 Add '-2' to each side of the equation. 2 + -2 + 8p = 74 + -2 Combine like terms: 2 + -2 = 0 0 + 8p = 74 + -2 8p = 74 + -2 Combine like terms: 74 + -2 = 72 8p = 72 Divide each side by '8'. p = 9 Simplifying p = 9
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