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Simplifying 5p + 12 = 32 + -3p Reorder the terms: 12 + 5p = 32 + -3p Solving 12 + 5p = 32 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 12 + 5p + 3p = 32 + -3p + 3p Combine like terms: 5p + 3p = 8p 12 + 8p = 32 + -3p + 3p Combine like terms: -3p + 3p = 0 12 + 8p = 32 + 0 12 + 8p = 32 Add '-12' to each side of the equation. 12 + -12 + 8p = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 8p = 32 + -12 8p = 32 + -12 Combine like terms: 32 + -12 = 20 8p = 20 Divide each side by '8'. p = 2.5 Simplifying p = 2.5
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