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Simplifying 92 = -8p + -4(1 + -5p) 92 = -8p + (1 * -4 + -5p * -4) 92 = -8p + (-4 + 20p) Reorder the terms: 92 = -4 + -8p + 20p Combine like terms: -8p + 20p = 12p 92 = -4 + 12p Solving 92 = -4 + 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 = -4 + 12p + -12p Combine like terms: 12p + -12p = 0 92 + -12p = -4 + 0 92 + -12p = -4 Add '-92' to each side of the equation. 92 + -92 + -12p = -4 + -92 Combine like terms: 92 + -92 = 0 0 + -12p = -4 + -92 -12p = -4 + -92 Combine like terms: -4 + -92 = -96 -12p = -96 Divide each side by '-12'. p = 8 Simplifying p = 8
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