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Simplifying 32 + 8p = -8(-2 + -3p) 32 + 8p = (-2 * -8 + -3p * -8) 32 + 8p = (16 + 24p) Solving 32 + 8p = 16 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. 32 + 8p + -24p = 16 + 24p + -24p Combine like terms: 8p + -24p = -16p 32 + -16p = 16 + 24p + -24p Combine like terms: 24p + -24p = 0 32 + -16p = 16 + 0 32 + -16p = 16 Add '-32' to each side of the equation. 32 + -32 + -16p = 16 + -32 Combine like terms: 32 + -32 = 0 0 + -16p = 16 + -32 -16p = 16 + -32 Combine like terms: 16 + -32 = -16 -16p = -16 Divide each side by '-16'. p = 1 Simplifying p = 1
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