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Simplifying 32 = -4(3p + 7) Reorder the terms: 32 = -4(7 + 3p) 32 = (7 * -4 + 3p * -4) 32 = (-28 + -12p) Solving 32 = -28 + -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. 32 + 12p = -28 + -12p + 12p Combine like terms: -12p + 12p = 0 32 + 12p = -28 + 0 32 + 12p = -28 Add '-32' to each side of the equation. 32 + -32 + 12p = -28 + -32 Combine like terms: 32 + -32 = 0 0 + 12p = -28 + -32 12p = -28 + -32 Combine like terms: -28 + -32 = -60 12p = -60 Divide each side by '12'. p = -5 Simplifying p = -5
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