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Simplifying 32 + -8p = -8(4p + 2) Reorder the terms: 32 + -8p = -8(2 + 4p) 32 + -8p = (2 * -8 + 4p * -8) 32 + -8p = (-16 + -32p) Solving 32 + -8p = -16 + -32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '32p' to each side of the equation. 32 + -8p + 32p = -16 + -32p + 32p Combine like terms: -8p + 32p = 24p 32 + 24p = -16 + -32p + 32p Combine like terms: -32p + 32p = 0 32 + 24p = -16 + 0 32 + 24p = -16 Add '-32' to each side of the equation. 32 + -32 + 24p = -16 + -32 Combine like terms: 32 + -32 = 0 0 + 24p = -16 + -32 24p = -16 + -32 Combine like terms: -16 + -32 = -48 24p = -48 Divide each side by '24'. p = -2 Simplifying p = -2
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