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Simplifying -81 = -3(4p + 7) Reorder the terms: -81 = -3(7 + 4p) -81 = (7 * -3 + 4p * -3) -81 = (-21 + -12p) Solving -81 = -21 + -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. -81 + 12p = -21 + -12p + 12p Combine like terms: -12p + 12p = 0 -81 + 12p = -21 + 0 -81 + 12p = -21 Add '81' to each side of the equation. -81 + 81 + 12p = -21 + 81 Combine like terms: -81 + 81 = 0 0 + 12p = -21 + 81 12p = -21 + 81 Combine like terms: -21 + 81 = 60 12p = 60 Divide each side by '12'. p = 5 Simplifying p = 5
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