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Simplifying -92 = -4(3p + 5) Reorder the terms: -92 = -4(5 + 3p) -92 = (5 * -4 + 3p * -4) -92 = (-20 + -12p) Solving -92 = -20 + -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. -92 + 12p = -20 + -12p + 12p Combine like terms: -12p + 12p = 0 -92 + 12p = -20 + 0 -92 + 12p = -20 Add '92' to each side of the equation. -92 + 92 + 12p = -20 + 92 Combine like terms: -92 + 92 = 0 0 + 12p = -20 + 92 12p = -20 + 92 Combine like terms: -20 + 92 = 72 12p = 72 Divide each side by '12'. p = 6 Simplifying p = 6
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