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Simplifying 15p + 32 = 19p + 12 Reorder the terms: 32 + 15p = 19p + 12 Reorder the terms: 32 + 15p = 12 + 19p Solving 32 + 15p = 12 + 19p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-19p' to each side of the equation. 32 + 15p + -19p = 12 + 19p + -19p Combine like terms: 15p + -19p = -4p 32 + -4p = 12 + 19p + -19p Combine like terms: 19p + -19p = 0 32 + -4p = 12 + 0 32 + -4p = 12 Add '-32' to each side of the equation. 32 + -32 + -4p = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -4p = 12 + -32 -4p = 12 + -32 Combine like terms: 12 + -32 = -20 -4p = -20 Divide each side by '-4'. p = 5 Simplifying p = 5
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