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Simplifying 5p + -8 + -2p = 15p + -32 Reorder the terms: -8 + 5p + -2p = 15p + -32 Combine like terms: 5p + -2p = 3p -8 + 3p = 15p + -32 Reorder the terms: -8 + 3p = -32 + 15p Solving -8 + 3p = -32 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -8 + 3p + -15p = -32 + 15p + -15p Combine like terms: 3p + -15p = -12p -8 + -12p = -32 + 15p + -15p Combine like terms: 15p + -15p = 0 -8 + -12p = -32 + 0 -8 + -12p = -32 Add '8' to each side of the equation. -8 + 8 + -12p = -32 + 8 Combine like terms: -8 + 8 = 0 0 + -12p = -32 + 8 -12p = -32 + 8 Combine like terms: -32 + 8 = -24 -12p = -24 Divide each side by '-12'. p = 2 Simplifying p = 2
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