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Simplifying -32 + -5p = -8(3p + 4) Reorder the terms: -32 + -5p = -8(4 + 3p) -32 + -5p = (4 * -8 + 3p * -8) -32 + -5p = (-32 + -24p) Add '32' to each side of the equation. -32 + 32 + -5p = -32 + 32 + -24p Combine like terms: -32 + 32 = 0 0 + -5p = -32 + 32 + -24p -5p = -32 + 32 + -24p Combine like terms: -32 + 32 = 0 -5p = 0 + -24p -5p = -24p Solving -5p = -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. -5p + 24p = -24p + 24p Combine like terms: -5p + 24p = 19p 19p = -24p + 24p Combine like terms: -24p + 24p = 0 19p = 0 Divide each side by '19'. p = 0 Simplifying p = 0
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