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Simplifying 12p + 8 = 40 + -4p Reorder the terms: 8 + 12p = 40 + -4p Solving 8 + 12p = 40 + -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. 8 + 12p + 4p = 40 + -4p + 4p Combine like terms: 12p + 4p = 16p 8 + 16p = 40 + -4p + 4p Combine like terms: -4p + 4p = 0 8 + 16p = 40 + 0 8 + 16p = 40 Add '-8' to each side of the equation. 8 + -8 + 16p = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 16p = 40 + -8 16p = 40 + -8 Combine like terms: 40 + -8 = 32 16p = 32 Divide each side by '16'. p = 2 Simplifying p = 2
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