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Simplifying 4 + 8(4p + 7) = -36 + 8p Reorder the terms: 4 + 8(7 + 4p) = -36 + 8p 4 + (7 * 8 + 4p * 8) = -36 + 8p 4 + (56 + 32p) = -36 + 8p Combine like terms: 4 + 56 = 60 60 + 32p = -36 + 8p Solving 60 + 32p = -36 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 60 + 32p + -8p = -36 + 8p + -8p Combine like terms: 32p + -8p = 24p 60 + 24p = -36 + 8p + -8p Combine like terms: 8p + -8p = 0 60 + 24p = -36 + 0 60 + 24p = -36 Add '-60' to each side of the equation. 60 + -60 + 24p = -36 + -60 Combine like terms: 60 + -60 = 0 0 + 24p = -36 + -60 24p = -36 + -60 Combine like terms: -36 + -60 = -96 24p = -96 Divide each side by '24'. p = -4 Simplifying p = -4
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