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Simplifying -3(5p + 8) = 32 + -8p Reorder the terms: -3(8 + 5p) = 32 + -8p (8 * -3 + 5p * -3) = 32 + -8p (-24 + -15p) = 32 + -8p Solving -24 + -15p = 32 + -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. -24 + -15p + 8p = 32 + -8p + 8p Combine like terms: -15p + 8p = -7p -24 + -7p = 32 + -8p + 8p Combine like terms: -8p + 8p = 0 -24 + -7p = 32 + 0 -24 + -7p = 32 Add '24' to each side of the equation. -24 + 24 + -7p = 32 + 24 Combine like terms: -24 + 24 = 0 0 + -7p = 32 + 24 -7p = 32 + 24 Combine like terms: 32 + 24 = 56 -7p = 56 Divide each side by '-7'. p = -8 Simplifying p = -8
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